Range-kernel weak orthogonality of some elementary operators

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 ).

Bibliographic Details
Main Authors:	Bachir Ahmed, Segres Abdelkader, Sayyaf Nawal A.
Format:	Article
Language:	English
Published:	De Gruyter 2021-03-01
Series:	Open Mathematics
Subjects:	range-kernel orthogonality elementary operator schatten p-classes quasinormal operator subnormal operator k-quasihyponormal operator 47a30 47b20 47b47 47b10
Online Access:	https://doi.org/10.1515/math-2021-0001

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record_format	Article
spelling	doaj-44007f6aa3544de2a1abf9d19cc3181b2021-10-03T07:42:35ZengDe GruyterOpen Mathematics2391-54552021-03-01191324510.1515/math-2021-0001Range-kernel weak orthogonality of some elementary operatorsBachir Ahmed0Segres Abdelkader1Sayyaf Nawal A.2Department of Mathematics, College of Science, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, Mascara University, Mascara, AlgeriaDepartment of Mathematics, College of Science, Bisha University, Bisha, Saudi ArabiaWe 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 ).https://doi.org/10.1515/math-2021-0001range-kernel orthogonalityelementary operatorschatten p-classesquasinormal operatorsubnormal operatork-quasihyponormal operator47a3047b2047b4747b10
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bachir Ahmed Segres Abdelkader Sayyaf Nawal A.
spellingShingle	Bachir Ahmed Segres Abdelkader Sayyaf Nawal A. Range-kernel weak orthogonality of some elementary operators Open Mathematics range-kernel orthogonality elementary operator schatten p-classes quasinormal operator subnormal operator k-quasihyponormal operator 47a30 47b20 47b47 47b10
author_facet	Bachir Ahmed Segres Abdelkader Sayyaf Nawal A.
author_sort	Bachir Ahmed
title	Range-kernel weak orthogonality of some elementary operators
title_short	Range-kernel weak orthogonality of some elementary operators
title_full	Range-kernel weak orthogonality of some elementary operators
title_fullStr	Range-kernel weak orthogonality of some elementary operators
title_full_unstemmed	Range-kernel weak orthogonality of some elementary operators
title_sort	range-kernel weak orthogonality of some elementary operators
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2021-03-01
description	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 ).
topic	range-kernel orthogonality elementary operator schatten p-classes quasinormal operator subnormal operator k-quasihyponormal operator 47a30 47b20 47b47 47b10
url	https://doi.org/10.1515/math-2021-0001
work_keys_str_mv	AT bachirahmed rangekernelweakorthogonalityofsomeelementaryoperators AT segresabdelkader rangekernelweakorthogonalityofsomeelementaryoperators AT sayyafnawala rangekernelweakorthogonalityofsomeelementaryoperators
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Range-kernel weak orthogonality of some elementary operators

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