The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces
Joint Authors
Zhan, Yujia
Zhang, Shaoyong
Zhang, Meiling
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces.
In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely continuous norm is ΓX(t)=t.
Meanwhile, the formula of the modulus of nearly uniform smoothness in Orlicz sequence spaces equipped with the Luxemburg norm is given.
As a corollary, we get a criterion for nearly uniform smoothness of Orlicz sequence spaces equipped with the Luxemburg norm.
Finally, the equivalent conditions of R(a,l(Φ))<1+a and RW(a,l(Φ))<1+a are given.
American Psychological Association (APA)
Zhang, Shaoyong& Zhang, Meiling& Zhan, Yujia. 2019. The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1174939
Modern Language Association (MLA)
Zhang, Shaoyong…[et al.]. The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces. Journal of Function Spaces No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1174939
American Medical Association (AMA)
Zhang, Shaoyong& Zhang, Meiling& Zhan, Yujia. The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1174939
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174939