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Mappings of Type Special Space of Sequences
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We give sufficient conditions on a special space of sequences defined by Mohamed and Bakery (2013) such that the finite rank operators are dense in the complete space of operators whose approximation numbers belong to this sequence space.
Hence, under a few conditions, every compact operator would be approximated by finite rank operators.
We apply it on the sequence space defined by Tripathy and Mahanta (2003).
Our results match those known for p -absolutely summable sequences of reals.
American Psychological Association (APA)
Bakery, Awad A.. 2016. Mappings of Type Special Space of Sequences. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1108608
Modern Language Association (MLA)
Bakery, Awad A.. Mappings of Type Special Space of Sequences. Journal of Function Spaces No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1108608
American Medical Association (AMA)
Bakery, Awad A.. Mappings of Type Special Space of Sequences. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1108608
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108608