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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… 
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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