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COMPACT FACTORIZATION OF OPERATORS WITH λ-COMPACT ADJOINTS

Published online by Cambridge University Press:  20 March 2017

ANTARA BHAR  and
ANIL K. KARN
ANTARA BHAR
Affiliation:
School of Mathematical Sciences, National Institute of Science Education and Research, Bhimpur, Padanpur via Jatni, Khurda-752050, India e-mails: antara.music@gmail.com, anilkarn@niser.ac.in
ANIL K. KARN
Affiliation:
School of Mathematical Sciences, National Institute of Science Education and Research, Bhimpur, Padanpur via Jatni, Khurda-752050, India e-mails: antara.music@gmail.com, anilkarn@niser.ac.in
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Abstract

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Let λ be a symmetric, normal sequence space equipped with a k-symmetric, monotone norm ‖.‖λ. Also, assume that (λ, ‖.‖λ) is AK-BK. Corresponding to this sequence space λ, we study compactness of the operator ideal K λ. We proved compactness, completeness and injectivity of the dual operator ideal K λ d . We also investigate the factorization of these operators.

Keywords

46B5046B2046B2847B07

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 1 , January 2018 , pp. 123 - 134
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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