K-extreme point of generalized orlicz sequence spaces with Luxemburg norm

Zhongrui Shi. "K-extreme point of generalized orlicz sequence spaces with Luxemburg norm." Commentationes Mathematicae 53.2 (2013): null. <http://eudml.org/doc/292391>.

@article{ZhongruiShi2013,
abstract = {In this paper,we give necessary and sufficient conditions in order that a point $u\in S(l_\{(\{\it \Phi \})\})$ is a k-extreme point in generalized Orlicz sequence spaces equipped with the Luxemburg norm, combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones. The results indicate the difference between the classical Orlicz spaces and generalized Orlicz spaces.},
author = {Zhongrui Shi},
journal = {Commentationes Mathematicae},
keywords = {Orlicz function, k-extreme point, linear dependence, Luxemburg norm},
language = {eng},
number = {2},
pages = {null},
title = {K-extreme point of generalized orlicz sequence spaces with Luxemburg norm},
url = {http://eudml.org/doc/292391},
volume = {53},
year = {2013},
}

TY - JOUR
AU - Zhongrui Shi
TI - K-extreme point of generalized orlicz sequence spaces with Luxemburg norm
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 2
SP - null
AB - In this paper,we give necessary and sufficient conditions in order that a point $u\in S(l_{({\it \Phi })})$ is a k-extreme point in generalized Orlicz sequence spaces equipped with the Luxemburg norm, combing the methods used in classical Orlicz spaces and new methods introduced especially for generalized ones. The results indicate the difference between the classical Orlicz spaces and generalized Orlicz spaces.
LA - eng
KW - Orlicz function, k-extreme point, linear dependence, Luxemburg norm
UR - http://eudml.org/doc/292391
ER -