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Strictly convex space

In mathematics, a strictly convex space is a normed topological vector space (V, || ||) for which the unit ball is a strictly convex set. Put another… 
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Convex analysis
Convex setModulus and characteristic of convexityUniformly convex space

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
New Characterizations of k-Uniformly Extremely Convex Banach Spaces
In the geometric theory of Banach spaces, the concept of uniform convexity plays a very significant role and is frequently used… 
2017
2017
Contractibility of Fixed Point Sets of Mean-Type Mappings
We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in… 
2017
2017
Non-expansive bijections between unit balls of Banach spaces
It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $\ell_1$, then every non… 
2016
2016
Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces
We prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping… 
2014
2014
Strictly convex space : Strong orthogonality and Conjugate diameters
In a normed linear space X an element x is said to be orthogonal to another element y in the sense of Birkhoff-James, written as… 
2010
2010
ORLICZ SPACES ISOMORPHIC TO STRICTLY CONVEX SPACES1
  • 2010
  • Corpus ID: 109930152
In this paper it is proved that if iX, S, p.) is a measure space then the Orlicz space L*(X, S, p.) is isomorphic to a strictly… 
2003
2003
ON WEAK -EXTREME POINTS IN BANACH SPACES
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, under canonical embedding, in… 
1985
1985
On the K-uniform rotund and the fully convex Banach spaces
1975
1975
Markuševič bases in some dual spaces
If X* is locally uniformly rotund, then X* has a Markusevic basis. It was proved by Tacon [8] that if the norm of a Banach space… 
1957
1957
Every $l$-space is isomorphic to a strictly convex space
  • M. Day
  • 1957
  • Corpus ID: 120875263
In the preceding paper' a normed linear space B is called sc (sm) if B is isomorphic to a space for which the unit sphere is… 
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