Approximative compactness in Musielak–Orlicz function spaces of Bochner type

2017 ◽  
Vol 11 (1) ◽  
pp. 143-163
Author(s):  
Shaoqiang Shang ◽  
Yunan Cui
Keyword(s):  
Orlicz Function ◽  
Function Spaces ◽  
Approximative Compactness

scholarly journals Approximative Compactness and Radon-Nikodym Property inw∗Nearly Dentable Banach Spaces and Applications

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Shaoqiang Shang ◽  
Yunan Cui
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Generalized Inverse ◽  
Orlicz Function ◽  
Function Spaces ◽  
Inverse Theory ◽  
Nikodym Property ◽  
Projector Operator ◽  
Approximative Compactness

Authors definew∗nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator inw∗nearly dentable space. Moreover, authors obtain some examples ofw∗nearly dentable space in Orlicz function spaces. Finally, by the method of geometry of Banach spaces, authors give important applications ofw∗nearly dentability in generalized inverse theory of Banach space.

scholarly journals Smoothness and approximative compactness in Orlicz function spaces

2014 ◽  
Vol 8 (1) ◽  
pp. 26-38 ◽  
Author(s):  
Shaoqiang Shang ◽  
Yunan Cui ◽  
Yongqiang Fu
Keyword(s):  
Orlicz Function ◽  
Function Spaces ◽  
Approximative Compactness

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

scholarly journals Smoothness of the Orlicz norm in Musielak-Orlicz function spaces

2013 ◽  
Vol 287 (8-9) ◽  
pp. 1025-1041 ◽  
Author(s):  
Rui F. Vigelis ◽  
Charles C. Cavalcante
Keyword(s):  
Orlicz Function ◽  
Function Spaces ◽  
Orlicz Norm
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