Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers
Joint Authors
Abou Elmatty, Afaf R.
Bakery, Awad A.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
We give the sufficient (not necessary) conditions on E such that the components SEX,Y≔T∈LX,Y:snTn=0∞∈E of the class SE form pre-quasi operator ideal, the class of all finite rank operators are dense in the Banach pre-quasi ideal SE, the pre-quasi operator ideal formed by the sequence of approximation numbers is strictly contained for different weights and powers, the pre-quasi Banach Operator ideal formed by the sequence of approximation numbers is small, and finally, the pre-quasi Banach operator ideal constructed by s−numbers is simple Banach space.
American Psychological Association (APA)
Bakery, Awad A.& Abou Elmatty, Afaf R.. 2020. Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1186021
Modern Language Association (MLA)
Bakery, Awad A.& Abou Elmatty, Afaf R.. Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers. Journal of Function Spaces No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1186021
American Medical Association (AMA)
Bakery, Awad A.& Abou Elmatty, Afaf R.. Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1186021
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186021