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Modulus and characteristic of convexity

Known as: Characteristic of convexity, Modulus of convexity 
In mathematics, the modulus of convexity and the characteristic of convexity are measures of "how convex" the unit ball in a Banach space is. In some… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2021
2021
A central problem in discrete geometry, known as Hadwiger's covering problem, asks what the smallest natural number $N\left(n… Expand
2016
2016
Zero point problems of two accretive operators and fixed point problems of a nonexpansive mappings are investigated based on a… Expand
Highly Cited
2013
Highly Cited
2013
We show that unless P = NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a… Expand
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Highly Cited
2010
Highly Cited
2010
We prove the Fundamental Gap Conjecture, which states that the difference between the first two Dirichlet eigenvalues (the spec… Expand
2006
2006
We consider convex sets whose modulus of convexity is uniformly quadratic. First, we observe several interesting relations… Expand
Highly Cited
2005
Highly Cited
2005
  • D. Palomar
  • IEEE Transactions on Signal Processing
  • 2005
  • Corpus ID: 14637348
The design of linear transceivers for multiple-input-multiple-output (MIMO) communication systems with channel state information… Expand
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Highly Cited
2003
Highly Cited
2003
It is shown that every symmetric convex body which satisfies a kind of weak law of large numbers has the property that almost all… Expand
Highly Cited
2001
Highly Cited
2001
Some relations between the James (or non-square) constant $J(X)$ and the Jordan-von Neumann constant $C_NJ(X),$ and the normal… Expand
1974
1974
  • F. Glover
  • Z. Oper. Research
  • 1974
  • Corpus ID: 1057285
This note shows that convexity cuts defined relative to polyhedral convex sets can utilize negative as well as positive edge… Expand
Highly Cited
1974
Highly Cited
1974
There is a uniformly convex Banach space with unconditional basis which contains no subspace isomorphic to any lp (1 p ~). The… Expand