Smoothness and approximative compactness in orlicz function spaces

Shaoqiang Shang; Yunan Cui; Yongqiang Fu

doi:10.15352/bjma/1381782084

Smoothness and approximative compactness in orlicz function spaces

Shaoqiang Shang^*
, Yunan Cui
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Northeast Forestry University
Harbin University of Science and Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Some criteria for approximative compactness of every weaklyz.ast; closed convex set of Orlicz function spaces equipped with the Luxemburg norm are given. Although, criteria for approximative compactness of Orlicz function spaces equipped with the Luxemburg norm were known, we can easily deduce them from our main results.

Original language	English
Pages (from-to)	26-38
Number of pages	13
Journal	Banach Journal of Mathematical Analysis
Volume	8
Issue number	1
DOIs	https://doi.org/10.15352/bjma/1381782084
State	Published - 2013

Keywords

Approximative compactness
Extreme point
Orlicz function spaces
Smooth space

Access to Document

10.15352/bjma/1381782084

Cite this

@article{325c31eb24434a8083d02700af5af49b,

title = "Smoothness and approximative compactness in orlicz function spaces",

abstract = "Some criteria for approximative compactness of every weaklyz.ast; closed convex set of Orlicz function spaces equipped with the Luxemburg norm are given. Although, criteria for approximative compactness of Orlicz function spaces equipped with the Luxemburg norm were known, we can easily deduce them from our main results.",

keywords = "Approximative compactness, Extreme point, Orlicz function spaces, Smooth space",

author = "Shaoqiang Shang and Yunan Cui and Yongqiang Fu",

year = "2013",

doi = "10.15352/bjma/1381782084",

language = "英语",

volume = "8",

pages = "26--38",

journal = "Banach Journal of Mathematical Analysis",

issn = "2662-2033",

publisher = "Springer International Publishing",

number = "1",

}

TY - JOUR

T1 - Smoothness and approximative compactness in orlicz function spaces

AU - Shang, Shaoqiang

AU - Cui, Yunan

AU - Fu, Yongqiang

PY - 2013

Y1 - 2013

N2 - Some criteria for approximative compactness of every weaklyz.ast; closed convex set of Orlicz function spaces equipped with the Luxemburg norm are given. Although, criteria for approximative compactness of Orlicz function spaces equipped with the Luxemburg norm were known, we can easily deduce them from our main results.

AB - Some criteria for approximative compactness of every weaklyz.ast; closed convex set of Orlicz function spaces equipped with the Luxemburg norm are given. Although, criteria for approximative compactness of Orlicz function spaces equipped with the Luxemburg norm were known, we can easily deduce them from our main results.

KW - Approximative compactness

KW - Extreme point

KW - Orlicz function spaces

KW - Smooth space

UR - https://www.scopus.com/pages/publications/84885767223

U2 - 10.15352/bjma/1381782084

DO - 10.15352/bjma/1381782084

M3 - 文章

AN - SCOPUS:84885767223

SN - 2662-2033

VL - 8

SP - 26

EP - 38

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

IS - 1

ER -

Smoothness and approximative compactness in orlicz function spaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this