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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 Kλ. We proved compactness, completeness and injectivity of the dual operator ideal Kλd. We also investigate the factorization of these operators.

Keywords

46B5046B2046B2847B07
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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