Range-kernel weak orthogonality of some elementary operators-Reference-Cited by-同舟云学术

Range-kernel weak orthogonality of some elementary operators

Published:2021-01-01 Issue:1 Volume:19 Page:32-45
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Bachir Ahmed¹,Segres Abdelkader²,Sayyaf Nawal A.³

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University , Abha , Saudi Arabia

2. Department of Mathematics, Mascara University , Mascara , Algeria

3. Department of Mathematics, College of Science, Bisha University , Bisha , Saudi Arabia

Abstract

Abstract 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

-norm

( 1 ≤ p < ∞ )

\left(1\le p\lt \infty )

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0001/pdf

Reference17 articles.

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3. B. Fuglede, A commutativity theorem for normal operator, Proc. Nat. Acad. Sci. 36 (1950), 35–40.

4. R. Harte, Skew Exactness and Range-Kernel Orthogonality, Marcel Dekker, New-York-Basel, 1988.

5. J. Anderson, On normal derivations, Proc. Amer. Math. Soc. 38 (1973), 136–140.

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