scholarly journals An inequality on Jordan-von Neumann constant and James constant on Z_p,q space

2013 ◽  
pp. 97-102
Author(s):  
Changsen Yang ◽  
Haiying Li
Keyword(s):  
James Constant ◽  
Von Neumann

scholarly journals Some Properties Concerning the JL(X) and YJ(X) Which Related to Some Special Inscribed Triangles of Unit Ball

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1285
Author(s):  
Asif Ahmad ◽  
Yuankang Fu ◽  
Yongjin Li
Keyword(s):  
Unit Ball ◽  
Banach Spaces ◽  
Uniformly Convex ◽  
Geometric Properties ◽  
James Constant ◽  
Von Neumann ◽  
Geometric Constants

In this paper, we will make some further discussions on the JL(X) and YJ(X) which are symmetric and related to the side lengths of some special inscribed triangles of the unit ball, and also introduce two new geometric constants L1(X,▵), L2(X,▵) which related to the perimeters of some special inscribed triangles of the unit ball. Firstly, we discuss the relations among JL(X), YJ(X) and some geometric properties of Banach spaces, including uniformly non-square and uniformly convex. It is worth noting that we point out that uniform non-square spaces can be characterized by the side lengths of some special inscribed triangles of unit ball. Secondly, we establish some inequalities for JL(X), YJ(X) and some significant geometric constants, including the James constant J(X) and the von Neumann-Jordan constant CNJ(X). Finally, we introduce the two new geometric constants L1(X,▵), L2(X,▵), and calculate the bounds of L1(X,▵) and L2(X,▵) as well as the values of L1(X,▵) and L2(X,▵) for two Banach spaces.

scholarly journals An inequality between Jordan–von Neumann constant and James constant

2010 ◽  
Vol 23 (3) ◽  
pp. 277-281 ◽  
Author(s):  
Changsen Yang ◽  
Haiying Li
Keyword(s):  
James Constant ◽  
Von Neumann

scholarly journals Hölder’s means and fixed points for multivalued nonexpansive mappings

Filomat ◽  
2018 ◽  
Vol 32 (19) ◽  
pp. 6531-6547
Author(s):  
Mina Dinarvand
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Recent Literature ◽  
Nonexpansive Mappings ◽  
Convergent Sequence ◽  
Normal Structure ◽  
James Constant ◽  
Von Neumann ◽  
Geometric Conditions ◽  
Weakly Convergent Sequence Coefficient

In this paper, we show some geometric conditions on Banach spaces by considering H?lder?s means and many well known parameters namely the James constant, the von Neumann-Jordan constant, the weakly convergent sequence coefficient, the normal structure coefficient, the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings and normal structure of Banach spaces. Some of our main results improve and generalize several known results in the recent literature on this topic. We also show that some of our results are sharp.

scholarly journals On Geometric Constants for Discrete Morrey Spaces

2021 ◽  
Vol 2 ◽  
pp. 2
Author(s):  
Adam Adam ◽  
Hendra Gunawan
Keyword(s):  
Morrey Spaces ◽  
James Constant ◽  
Von Neumann ◽  
Geometric Constants

In this paper we prove that the n-th Von Neumann-Jordan constant and the n-th James constant for discrete Morrey spaces lpq where 1≤p<q<∞ are both equal to n. This result tells us that the discrete Morrey spaces are not uniformly non-l1, and hence they are not uniformly n-convex.

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann

John von Neumann

2004 ◽  
Vol 174 (12) ◽  
pp. 1371 ◽  
Author(s):  
Mikhail I. Monastyrskii
Keyword(s):  
John Von Neumann ◽  
Von Neumann
Sign in / Sign up

Export Citation Format

Share Document