Finite sum of weighted composition operators with closed range-Reference-Cited by-同舟云学术

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Finite sum of weighted composition operators with closed range

Published:2023 Issue:20 Volume:37 Page:6677-6686
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Alishahi Aboalghasem¹,Shamsigamchi Saeedeh¹

Affiliation:

1. Department of Mathematics, Payame Noor University (PNU), Tehran, Iran

Abstract

In this paper, first we characterize closedness of range of the finite sum of weighted composition operators between different Lp-spaces. Then we discuss polar decomposition and invertibility of these operators.

Publisher

National Library of Serbia

Reference19 articles.

1. J. T. Capbell and J. E. Jaminson, On some classes of wieghed composition operators, Glasgow Math. J., 32(1900), 74-87.

2. J. T. Chan, A note on campact wieghed composition operators on Lp(μ), Acta Sci. Math. (Szeged), 56(1992), 165-168.

3. Ch. Yan, Chou, W.-L. Day and J. Shyang, On the Banach-Ston problem for Lp(μ)-spaces, Taiwanese J. Math., 10(1)(2006), 233-241.

4. Y. Estaremi, Unbounded weighted conditional expectation operators, Complex Anal. Oper. Theory, 10(2016), 567-580.

5. Y. Estaremi and M. R. Jabbarzadeh, Weighted Lambert type operators on Lp-spaces, Oper. Matric., 7(1)(2013), 101-116.

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