Mappings of Type Special Space of Sequences

Author

Bakery, Awad A.

Source

Journal of Function Spaces

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

Mathematics

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