Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm

Shaoqiang Shang; Yunan Cui; Yongqiang Fu

doi:10.1155/2010/914183

Abstract and Applied Analysis (Jan 2010)

Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm

Shaoqiang Shang,
Yunan Cui,
Yongqiang Fu

Affiliations

Shaoqiang Shang: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Yunan Cui: Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China
Yongqiang Fu: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

DOI: https://doi.org/10.1155/2010/914183
Journal volume & issue: Vol. 2010

Abstract

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The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily deduce them from our main results.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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