Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces
Joint Authors
Mohammed, Mustafa M.
Bakery, Awad A.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces cesφ, where φ is an Orlicz function such that the class Scesφ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers which belong to cesφ forms an operator ideal.
The completeness and denseness of its ideal components are specified and Scesφ constructs a pre-quasi Banach operator ideal.
Some inclusion relations between the pre-quasi operator ideals and the inclusion relations for their duals are explained.
Moreover, we have presented the sufficient conditions on cesφ such that the pre-quasi Banach operator ideal generated by approximation number is small.
The above results coincide with that known for cesp (1
American Psychological Association (APA)
Bakery, Awad A.& Mohammed, Mustafa M.. 2019. Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174882
Modern Language Association (MLA)
Bakery, Awad A.& Mohammed, Mustafa M.. Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces. Journal of Function Spaces No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1174882
American Medical Association (AMA)
Bakery, Awad A.& Mohammed, Mustafa M.. Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174882
