scholarly journals Complex rotundity of Orlicz sequence spaces equipped with the p-Amemiya norm

2011 ◽  
Vol 378 (1) ◽  
pp. 151-158 ◽  
Author(s):  
Lili Chen ◽  
Yunan Cui
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces ◽  
Amemiya Norm

scholarly journals Kottman’s constant, packing constant and Riesz angle in some classes of K ¨othe sequence spaces

2019 ◽  
Vol 35 (1) ◽  
pp. 103-124
Author(s):  
BOYAN ZLATANOV ◽  
Keyword(s):  
Sequence Spaces ◽  
Sufficient Condition ◽  
Ball Packing ◽  
Orlicz Sequence Spaces ◽  
Köthe Sequence Spaces ◽  
Amemiya Norm

We have found a sufficient condition in order that the Kottman constant to be equal to the Riesz angle for Kothe ¨ sequence spaces. We have found the ball packing constant in weighted Orlicz sequence spaces, endowed with Luxemburg or p–Amemiya norm. We have calculated the Riesz angle for Musielak–Orlicz, Nakano, weighted Orlicz, Orlicz, Orlicz–Lorentz, Lorentz and Cesaro sequence spaces.

scholarly journals Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xin He ◽  
Jijie Yu ◽  
Yunan Cui ◽  
Xin Huo
Keyword(s):  
Sequence Space ◽  
Geometric Characteristic ◽  
Orlicz Spaces ◽  
Sequence Spaces ◽  
Orlicz Sequence Space ◽  
Orlicz Sequence Spaces ◽  
Relevant Work ◽  
Amemiya Norm

The problem of packing spheres in Orlicz sequence spacelΦ,pequipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity oflΦ,pis obtained, which contains the relevant work aboutlp  (p>1)and classical Orlicz spaceslΦdiscussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated.

Weakly compact sets in Orlicz sequence spaces

2021 ◽  
pp. 1-14
Author(s):  
Siyu Shi ◽  
Zhongrui Shi ◽  
Shujun Wu
Keyword(s):  
Sequence Spaces ◽  
Compact Sets ◽  
Weakly Compact ◽  
Orlicz Sequence Spaces ◽  
Weakly Compact Sets

scholarly journals Local rotundity structure of Cesàro–Orlicz sequence spaces

2008 ◽  
Vol 345 (1) ◽  
pp. 410-419 ◽  
Author(s):  
Paweł Foralewski ◽  
Henryk Hudzik ◽  
Alicja Szymaszkiewicz
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces

λ-Properties of Orlicz sequence spaces

1994 ◽  
Vol 59 (3) ◽  
pp. 239-249 ◽  
Author(s):  
Shutao Chen ◽  
Huiying Sun
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces
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