Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm

Joint Authors

Cui, Yunan
Chen, Lili
Zhao, Yanfeng

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-08

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.

It is obtained that, for any Musielak-Orlicz function space equipped with the p-Amemiya norm when 1≤p<∞, complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball.

Moreover, criteria for them in above spaces are given.

Criteria for complex strict convexity and complex midpoint locally uniform convexity of above spaces are also deduced.

American Psychological Association (APA)

Chen, Lili& Cui, Yunan& Zhao, Yanfeng. 2014. Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033599

Modern Language Association (MLA)

Chen, Lili…[et al.]. Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1033599

American Medical Association (AMA)

Chen, Lili& Cui, Yunan& Zhao, Yanfeng. Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033599

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033599