Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions
Zhongrui Shi; YuanDi Wang; Ge Dong
Colloquium Mathematicae (2007)
- Volume: 107, Issue: 1, page 21-34
- ISSN: 0010-1354
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topZhongrui Shi, YuanDi Wang, and Ge Dong. "Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions." Colloquium Mathematicae 107.1 (2007): 21-34. <http://eudml.org/doc/283531>.
@article{ZhongruiShi2007,
abstract = {Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.},
author = {Zhongrui Shi, YuanDi Wang, Ge Dong},
journal = {Colloquium Mathematicae},
keywords = {uniform rotundity in a weakly compact set of directions; Orlicz sequence space; Orlicz norm},
language = {eng},
number = {1},
pages = {21-34},
title = {Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions},
url = {http://eudml.org/doc/283531},
volume = {107},
year = {2007},
}
TY - JOUR
AU - Zhongrui Shi
AU - YuanDi Wang
AU - Ge Dong
TI - Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 1
SP - 21
EP - 34
AB - Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.
LA - eng
KW - uniform rotundity in a weakly compact set of directions; Orlicz sequence space; Orlicz norm
UR - http://eudml.org/doc/283531
ER -
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