Uniform rotundity of Orlicz function spaces equipped with the p-Amemiya norm

2018 ◽  
Vol 291 (10) ◽  
pp. 1514-1532 ◽  
Author(s):  
Radosław Kaczmarek
Keyword(s):  
Orlicz Function ◽  
Function Spaces ◽  
Uniform Rotundity ◽  
Amemiya Norm

scholarly journals Complex Convexity of Musielak-Orlicz Function Spaces Equipped with thep-Amemiya Norm

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Lili Chen ◽  
Yunan Cui ◽  
Yanfeng Zhao
Keyword(s):  
Unit Ball ◽  
Function Space ◽  
Orlicz Function ◽  
Extreme Points ◽  
Function Spaces ◽  
Strict Convexity ◽  
Uniform Convexity ◽  
Amemiya Norm

The complex convexity of Musielak-Orlicz function spaces equipped with thep-Amemiya norm is mainly discussed. It is obtained that, for any Musielak-Orlicz function space equipped with thep-Amemiya norm when1≤p<∞, complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball. Moreover, criteria for them in above spaces are given. Criteria for complex strict convexity and complex midpoint locally uniform convexity of above spaces are also deduced.

scholarly journals Isomorphic copies of $$l^\infty $$ l ∞ in Cesàro–Orlicz function spaces

Positivity ◽  
2016 ◽  
Vol 21 (3) ◽  
pp. 1015-1030 ◽  
Author(s):  
Tomasz Kiwerski ◽  
Paweł Kolwicz
Keyword(s):  
Orlicz Function ◽  
Function Spaces
Sign in / Sign up

Export Citation Format

Share Document