On the public citation graph
Some new results on smoothness and rotundity in normed linear spaces
0 signed · 159 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-540-33981-6_21openalex-snapshot
ESPACES VECTORIELS TOPOLOGIQUES
inferredcites →https://doi.org/10.1007/bf01187394openalex-snapshot
Extremal structure of convex sets. II
inferredcites →https://doi.org/10.1090/s0002-9939-1955-0068113-7openalex-snapshot
Separation Properties of Convex Cones
inferredcites →https://doi.org/10.1090/s0002-9947-1953-0054850-xopenalex-snapshot
Convex Bodies and Periodic Homeomorphisms in Hilbert Space
inferredcites →https://doi.org/10.1090/s0002-9947-1955-0067351-1openalex-snapshot
Strict Convexity and Smoothness of Normed Spaces
inferredcites →https://doi.org/10.1090/s0002-9947-1955-0069388-5openalex-snapshot
Some Topological Properties of Convex Sets
inferredcites →https://doi.org/10.1215/s0012-7094-51-01835-2openalex-snapshot
Convex sets in linear spaces
inferredcites →https://doi.org/10.2307/1969275openalex-snapshot
Uniform Convexity in Factor and Conjugate Spaces
inferredcites →https://doi.org/10.4064/fm-47-2-173-178openalex-snapshot
Dense families of continuous selections
inferredcites →https://doi.org/10.4064/sm-1-1-83-85openalex-snapshot
Une remarque sur l'homéomorphie des champs fonctionnels
inferredcites →https://doi.org/10.4064/sm-2-1-7-9openalex-snapshot
Über die kleinste konvexe Menge, die eine gegebene kompakte Menge enthält
inferredcites →https://doi.org/10.4064/sm-4-1-100-112openalex-snapshot
Zur Theorie der linearen Dimension
inferredcites →https://doi.org/10.4064/sm-4-1-70-84openalex-snapshot
Über konvexe Mengen in linearen normierten Räumen
inferredcites →https://doi.org/10.4064/sm-9-1-133-138openalex-snapshot
On extreme points of regular convex sets
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-1-4419-7515-7_5openalex-snapshot
Structure of Banach Spaces
inferred← citeshttps://doi.org/10.1007/978-1-4419-7515-7_8openalex-snapshot
C 1-Smoothness in Separable Spaces
inferred← citeshttps://doi.org/10.1007/978-3-031-47511-5_13openalex-snapshot
Convexity on Convex Polyhedra
inferred← citeshttps://doi.org/10.1007/978-3-319-28186-5_8openalex-snapshot
About the Hausdorff Dimension of the Set of Endpoints of Convex Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-319-33572-8_4openalex-snapshot
Differentiability and Structure, Renormings
inferred← citeshttps://doi.org/10.1007/978-3-642-41498-5_5openalex-snapshot
Applications of an Idea of Voronoĭ, a Report
inferred← citeshttps://doi.org/10.1007/978-94-011-2634-2_21openalex-snapshot
Ambiguous Loci in Best Approximation Theory
inferred← citeshttps://doi.org/10.1007/bf00240005openalex-snapshot
Conjugate points and closed geodesic arcs on convex surfaces
inferred← citeshttps://doi.org/10.1007/bf01199818openalex-snapshot
Smooth extension of norms and complementability of subspaces
inferred← citeshttps://doi.org/10.1007/bf01292766openalex-snapshot
Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space
inferred← citeshttps://doi.org/10.1007/bf01293533openalex-snapshot
The curvature of most convex surfaces vanishes almost everywhere
inferred← citeshttps://doi.org/10.1007/bf01302711openalex-snapshot
Nearly all convex bodies are smooth and strictly convex
inferred← citeshttps://doi.org/10.1007/bf01318232openalex-snapshot
The dimension print of most convex surfaces
inferred← citeshttps://doi.org/10.1007/bf01342907openalex-snapshot
Halbgeordnete lokalkonvexe Vektorr�ume. II
inferred← citeshttps://doi.org/10.1007/bf01350163openalex-snapshot
A geometric characterization of non-atomic measure spaces
inferred← citeshttps://doi.org/10.1007/bf01360167openalex-snapshot
Halbgeordnete lokalkonvexe Vektorr�ume. III
inferred← citeshttps://doi.org/10.1007/bf01364343openalex-snapshot
Typical convex curves on convex surfaces
inferred← citeshttps://doi.org/10.1007/bf01364632openalex-snapshot
On the curvatures of convex bodies
inferred← citeshttps://doi.org/10.1007/bf01391471openalex-snapshot
Die meisten konvexen K�rper sind glatt, aber nicht zu glatt
inferred← citeshttps://doi.org/10.1007/bf01399505openalex-snapshot
Many endpoints and few interior points of geodesics
inferred← citeshttps://doi.org/10.1007/bf01420084openalex-snapshot
Nonexistence of curvature in most points of most convex surfaces
inferred← citeshttps://doi.org/10.1007/bf01436195openalex-snapshot
Factoring absolutely convergent series
inferred← citeshttps://doi.org/10.1007/bf01450688openalex-snapshot
On residuality of the set of rotund norms on a Banach space
inferred← citeshttps://doi.org/10.1007/bf02109786openalex-snapshot
Densely connected ambiguous loci of the metric projection in Hilbert spaces
inferred← citeshttps://doi.org/10.1007/bf02463343openalex-snapshot
On convex cones with Schwarz-Zamfirescu property
inferred← citeshttps://doi.org/10.1007/bf02566824openalex-snapshot
Semicontinuity of the face-function of a convex set
inferred← citeshttps://doi.org/10.1007/bf02574683openalex-snapshot
On two conjectures of franz hering about convex surfaces
inferred← citeshttps://doi.org/10.1007/bf02759700openalex-snapshot
On operators which attain their norm
inferred← citeshttps://doi.org/10.1007/bf02783039openalex-snapshot
Some results on infinite-dimensional convexity
inferred← citeshttps://doi.org/10.1007/bf02796144openalex-snapshot
Nondifferentiability properties of the nearest point mapping
inferred← citeshttps://doi.org/10.1007/bfb0081740openalex-snapshot
Some useful facts about Banach spaces
inferred← citeshttps://doi.org/10.1007/bfb0082081openalex-snapshot
Convexity and differentiability of norms
inferred← citeshttps://doi.org/10.1007/bfb0099842openalex-snapshot
The properties of a residual set of vector measures
inferred← citeshttps://doi.org/10.1007/s000130050551openalex-snapshot
On the typical structure of compact sets
inferred← citeshttps://doi.org/10.1007/s00022-009-0012-8openalex-snapshot
What do cylinders look like?
inferred← citeshttps://doi.org/10.1007/s00039-025-00698-xopenalex-snapshot
Unit and Distinct Distances in Typical Norms
inferred← citeshttps://doi.org/10.1007/s00208-007-0159-2openalex-snapshot
On typical degenerate convex surfaces
inferred← citeshttps://doi.org/10.1007/s00454-025-00779-6openalex-snapshot
On Extreme Constant Width Bodies in $$\mathbb {R}^3$$
inferred← citeshttps://doi.org/10.1007/s00526-019-1646-5openalex-snapshot
Extremal rank-one convex integrands and a conjecture of Šverák
inferred← citeshttps://doi.org/10.1007/s00605-008-0061-3openalex-snapshot
On typical sets in Banach spaces and a parametric Kuratowski–Ulam theorem
inferred← citeshttps://doi.org/10.1007/s10114-023-0616-1openalex-snapshot
Generalized Rectangular Convexity
inferred← citeshttps://doi.org/10.1007/s10231-012-0308-4openalex-snapshot
Application of an idea of Voronoĭ to lattice packing
inferred← citeshttps://doi.org/10.1007/s10711-011-9658-0openalex-snapshot
Infinite curvature on typical convex surfaces
inferred← citeshttps://doi.org/10.1007/s10711-022-00675-wopenalex-snapshot
Homothetic packings of centrally symmetric convex bodies
inferred← citeshttps://doi.org/10.1007/s10898-010-9621-xopenalex-snapshot
Small sets in best approximation theory
inferred← citeshttps://doi.org/10.1007/s11253-025-02462-8openalex-snapshot
On Uniform Convexity of Linear Metric Spaces
inferred← citeshttps://doi.org/10.1016/0021-9045(69)90002-1openalex-snapshot
Smoothness and rotundity in quotient spaces
inferred← citeshttps://doi.org/10.1016/0022-247x(79)90055-6openalex-snapshot
On complex strictly convex spaces, I
inferred← citeshttps://doi.org/10.1016/0022-247x(79)90210-5openalex-snapshot
On complex strictly convex spaces, II
inferred← citeshttps://doi.org/10.1016/0024-3795(93)00364-6openalex-snapshot
Cross-positive matrices revisited
inferred← citeshttps://doi.org/10.1016/0040-9383(82)90041-6openalex-snapshot
Most convex mirrors are magic
inferred← citeshttps://doi.org/10.1016/b978-0-444-89597-4.50021-4openalex-snapshot
Baire Categories in Convexity
inferred← citeshttps://doi.org/10.1016/j.aim.2010.09.009openalex-snapshot
The number of unit distances is almost linear for most norms
inferred← citeshttps://doi.org/10.1016/j.aim.2013.12.009openalex-snapshot
Normal bundles of convex bodies
inferred← citeshttps://doi.org/10.1016/j.aim.2018.11.014openalex-snapshot
Double normals of most convex bodies
inferred← citeshttps://doi.org/10.1016/j.aop.2021.168643openalex-snapshot
Entanglement of classical and quantum short-range dynamics in mean-field systems
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111844openalex-snapshot
Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.jfa.2016.10.028openalex-snapshot
Norm-attaining functionals need not contain 2-dimensional subspaces
inferred← citeshttps://doi.org/10.1016/j.jmaa.2011.06.059openalex-snapshot
On a classical renorming construction of V. Klee
inferred← citeshttps://doi.org/10.1016/j.jmaa.2024.128455openalex-snapshot
Counterexamples in rotundity of norms in Banach spaces
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)72839-1openalex-snapshot
Intersecting Diameters in Convex Bodies
inferred← citeshttps://doi.org/10.1016/s0723-0869(02)80021-4openalex-snapshot
Choquet's theory and the Dirichlet problem
inferred← citeshttps://doi.org/10.1016/s1874-5849(01)80017-6openalex-snapshot
Infinite Dimensional Convexity
inferred← citeshttps://doi.org/10.1017/s0004972700042088openalex-snapshot
The conjugate of a smooth Banach space
inferred← citeshttps://doi.org/10.1017/s0305004100078063openalex-snapshot
Description of most starshaped surfaces
inferred← citeshttps://doi.org/10.1017/s1446788700011800openalex-snapshot
Strong differentiability of the norm and rotundity of the dual
inferred← citeshttps://doi.org/10.1017/s1446788700014634openalex-snapshot
Strict convexity of sets in analytic terms
inferred← citeshttps://doi.org/10.1017/s144678870002022xopenalex-snapshot
Weak rotundity in Banach spaces
inferred← citeshttps://doi.org/10.1017/s1446788700024241openalex-snapshot
Intersections of tangent convex curves
inferred← citeshttps://doi.org/10.1017/s144678870002958xopenalex-snapshot
Typical Convex Sets of Convex Sets
inferred← citeshttps://doi.org/10.1023/a:1012308214944openalex-snapshot
Optimal Solution Space and Regularization of Equations with Discontinuities in the Space Variables
inferred← citeshttps://doi.org/10.1070/rm1971v026n06abeh001273openalex-snapshot
GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE
inferred← citeshttps://doi.org/10.1080/01630568508816196openalex-snapshot
Characterizations of the strongly unique best approximations
inferred← citeshttps://doi.org/10.1080/01630568708816237openalex-snapshot
Most convex functions are nice(*)
inferred← citeshttps://doi.org/10.1080/02331934.2018.1476513openalex-snapshot
Characterizations of strictly convex sets by the uniqueness of support points
inferred← citeshttps://doi.org/10.1080/03081089308818240openalex-snapshot
Invariance of convex sets under linear transformations
inferred← citeshttps://doi.org/10.1090/s0002-9939-01-06252-9openalex-snapshot
The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space
inferred← citeshttps://doi.org/10.1090/s0002-9939-1980-0556620-4openalex-snapshot
Smoothness and Weak Sequential Compactness
inferred← citeshttps://doi.org/10.1090/s0002-9939-1980-0581004-2openalex-snapshot
Inscribed and Circumscribed Circles to Convex Curves
inferred← citeshttps://doi.org/10.1090/s0002-9939-1988-0943088-6openalex-snapshot
Too Long Shadow Boundaries
inferred← citeshttps://doi.org/10.1090/s0002-9939-1990-1015687-6openalex-snapshot
Minimal Shell of a Typical Convex Body
inferred← citeshttps://doi.org/10.1090/s0002-9939-2014-12245-3openalex-snapshot
Curvatures of typical convex bodies— the complete picture
inferred← citeshttps://doi.org/10.1090/s0002-9947-1964-0163143-9openalex-snapshot
The Geometry of Banach Spaces. Smoothness
inferred← citeshttps://doi.org/10.1090/s0002-9947-1991-1012526-xopenalex-snapshot
Convex Optimization and the Epi-Distance Topology
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1985.tb14550.xopenalex-snapshot
RESULTS OF BAIRE CATEGORY TYPE IN CONVEXITY
inferred← citeshttps://doi.org/10.1112/s0025579300013644openalex-snapshot
Shadow boundaries of typical convex bodies. measure properties
inferred← citeshttps://doi.org/10.1142/s0129167x15400042openalex-snapshot
Moderate smoothness of most Alexandrov surfaces
inferred← citeshttps://doi.org/10.1155/2019/9527954openalex-snapshot
Some Characterizations of k -Strictly Convex and k -Smooth Banach Spaces
inferred← citeshttps://doi.org/10.1155/aaa.2005.423openalex-snapshot
Properties of typical bounded closed convex sets in Hilbert space
inferred← citeshttps://doi.org/10.1215/ijm/1256049417openalex-snapshot
Geometrical properties determined by the higher duals of a Banach space
inferred← citeshttps://doi.org/10.1515/advgeom.2007.006openalex-snapshot
Multiple farthest points on Alexandrov surfaces
inferred← citeshttps://doi.org/10.15352/bjma/1381782101openalex-snapshot
Absolute sums of Banach spaces and some geometric properties related to rotundity and smoothness
inferred← citeshttps://doi.org/10.17877/de290r-193openalex-snapshot
Farthest points on convex surfaces
inferred← citeshttps://doi.org/10.2140/pjm.1970.35.575openalex-snapshot
On the Choquet boundary for a nonclosed subspace ofC(S)
inferred← citeshttps://doi.org/10.2140/pjm.1976.64.193openalex-snapshot
On embedding a compact convex set into a locally convex topological vector space
inferred← citeshttps://doi.org/10.2140/pjm.1988.131.191openalex-snapshot
Curvature properties of typical convex surfaces
inferred← citeshttps://doi.org/10.24193/fpt-ro.2017.1.32openalex-snapshot
Fixed chords and discs in convex bodies
inferred← citeshttps://doi.org/10.2478/amsil-2025-0003openalex-snapshot
On Various Types of Uniform Rotundities
inferred← citeshttps://doi.org/10.2478/auom-2022-0030openalex-snapshot
Ellipses surrounding convex bodies
inferred← citeshttps://doi.org/10.2969/jmsj/1158241930openalex-snapshot
The strange aspect of most compacta
inferred← citeshttps://doi.org/10.3176/phys.math.1996.2/3.11openalex-snapshot
STRICT CONVEXITY OF A SMOOTHLY RENORMED ℓ1; pp. 211–215
inferred← citeshttps://doi.org/10.4064/sm-112-2-99-107openalex-snapshot
Ambiguous loci of the farthest distance mapping from compact convex sets
inferred← citeshttps://doi.org/10.4064/sm-135-2-143-162openalex-snapshot
Some geometric properties of typical compact convex sets in Hilbert spaces
inferred← citeshttps://doi.org/10.4064/sm181-2-2openalex-snapshot
Weak compactness and σ-Asplund generated Banach spaces
inferred← citeshttps://doi.org/10.4153/cjm-1990-003-8openalex-snapshot
Diameters in Typical Convex Bodies
inferred← citeshttps://doi.org/10.4153/cmb-1996-053-7openalex-snapshot
On Bodies Associated with a Given Convex Body
inferred← citeshttps://doi.org/10.4153/cmb-2005-042-7openalex-snapshot
On Gâteaux Differentiability of Convex Functions in WCG Spaces
inferred← citeshttps://doi.org/10.4208/ata.oa-2017-0024openalex-snapshot
Smulyan Lemma and Differentiability of the Support Function
inferred← citeshttps://doi.org/10.4213/faa426openalex-snapshot
О выпуклых конусах со свойством Шварца - Замфиреску
inferred← citeshttps://doi.org/10.4213/mzm757openalex-snapshot
О пространстве оптимальных решений и о регуляризации уравнений с разрывами по пространственным переменным
inferred← citeshttps://doi.org/10.48550/arxiv.1007.1095openalex-snapshot
The number of unit distances is almost linear for most norms
inferred← citeshttps://doi.org/10.48550/arxiv.1011.4652openalex-snapshot
Infinite curvature on typical convex surfaces
inferred← citeshttps://doi.org/10.48550/arxiv.1308.3862openalex-snapshot
Moderate smoothness of most Alexandrov surfaces
inferred← citeshttps://doi.org/10.48550/arxiv.1503.06112openalex-snapshot
Norm-attaining functionals and proximinal subspaces
inferred← citeshttps://doi.org/10.48550/arxiv.1805.03185openalex-snapshot
Denseness of adapted processes among causal couplings
inferred← citeshttps://doi.org/10.5566/ias.2923openalex-snapshot
Existence and approximation of densities of chord length- and cross section area distributions
inferred← citeshttps://doi.org/10.5860/choice.48-5739openalex-snapshot
Convex functions: constructions, characterizations and counterexamples
inferred← citeshttps://doi.org/10.61186/ijmsi.19.2.119openalex-snapshot
Rotundity of Quotient Spaces in Metric Linear Spaces
inferred← citeshttps://doi.org/10.68381/jca14047openalex-snapshot
Hausdorff Dimension of Cut Loci of Generic Subspaces of Euclidean Spaces
inferred← citeshttps://doi.org/10.68381/jca19021openalex-snapshot
Large Curvature on Typical Convex Surfaces
inferred← citeshttps://doi.org/10.68381/jca29002openalex-snapshot
Weak* Hypertopologies with Application to Genericity of Convex Sets
inferred← citeshttps://doi.org/10.7146/math.scand.a-12517openalex-snapshot
Korovkin Theory in Lindenstrauss Spaces.
inferred← citeshttps://doi.org/10.7153/oam-06-15openalex-snapshot
Geometry and Gâteaux smoothness in separable Banach spaces
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.