Range-kernel weak orthogonality of some elementary operators

Bachir Ahmed; Segres Abdelkader; Sayyaf Nawal A.

doi:10.1515/math-2021-0001

Open Mathematics (Mar 2021)

Range-kernel weak orthogonality of some elementary operators

Bachir Ahmed,
Segres Abdelkader,
Sayyaf Nawal A.

Affiliations

Bachir Ahmed: Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia
Segres Abdelkader: Department of Mathematics, Mascara University, Mascara, Algeria
Sayyaf Nawal A.: Department of Mathematics, College of Science, Bisha University, Bisha, Saudi Arabia

DOI: https://doi.org/10.1515/math-2021-0001
Journal volume & issue: Vol. 19, no. 1
pp. 32 – 45

Abstract

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We study the range-kernel weak orthogonality of certain elementary operators induced by non-normal operators, with respect to usual operator norm and the Von Newmann-Schatten pp-norm (1≤p<∞)\left(1\le p\lt \infty ).

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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