Range-Kernel orthogonality and elementary operators on certain Banach spaces

The characterization of the points in Cp:1≤p<∞(ℋ){C}_{p{:}_{1\le p\lt \infty }}\left({\mathcal{ {\mathcal H} }}), the Von Neuman-Schatten p-classes, that are orthogonal to the range of elementary operators has been done for certain kinds of elementary operators. In this paper, we shall study this...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Bachir Ahmed, Segres Abdelkader, Sayyaf Nawal Ali, Ouarghi Khalid
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	range-kernel orthogonality elementary operator schatten p-classes trace class operators 46b20 47a30 47b20 47b47 47b10 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fd0ef4ff2a464b4d81079713fe544c61
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:fd0ef4ff2a464b4d81079713fe544c61
record_format	dspace
spelling	oai:doaj.org-article:fd0ef4ff2a464b4d81079713fe544c612021-12-05T14:10:45ZRange-Kernel orthogonality and elementary operators on certain Banach spaces2391-466110.1515/dema-2021-0024https://doaj.org/article/fd0ef4ff2a464b4d81079713fe544c612021-08-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0024https://doaj.org/toc/2391-4661The characterization of the points in Cp:1≤p<∞(ℋ){C}_{p{:}_{1\le p\lt \infty }}\left({\mathcal{ {\mathcal H} }}), the Von Neuman-Schatten p-classes, that are orthogonal to the range of elementary operators has been done for certain kinds of elementary operators. In this paper, we shall study this problem of characterization on an abstract reflexive, smooth and strictly convex Banach space for arbitrary operator. As an application, we consider other kinds of elementary operators defined on the spaces Cp:1≤p<∞(ℋ){C}_{p{:}_{1\le p\lt \infty }}\left({\mathcal{ {\mathcal H} }}), and finally, we give a counterexample to Mecheri’s result given in this context.Bachir AhmedSegres AbdelkaderSayyaf Nawal AliOuarghi KhalidDe Gruyterarticlerange-kernel orthogonalityelementary operatorschatten p-classestrace class operators46b2047a3047b2047b4747b10MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 272-279 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	range-kernel orthogonality elementary operator schatten p-classes trace class operators 46b20 47a30 47b20 47b47 47b10 Mathematics QA1-939
spellingShingle	range-kernel orthogonality elementary operator schatten p-classes trace class operators 46b20 47a30 47b20 47b47 47b10 Mathematics QA1-939 Bachir Ahmed Segres Abdelkader Sayyaf Nawal Ali Ouarghi Khalid Range-Kernel orthogonality and elementary operators on certain Banach spaces
description	The characterization of the points in Cp:1≤p<∞(ℋ){C}_{p{:}_{1\le p\lt \infty }}\left({\mathcal{ {\mathcal H} }}), the Von Neuman-Schatten p-classes, that are orthogonal to the range of elementary operators has been done for certain kinds of elementary operators. In this paper, we shall study this problem of characterization on an abstract reflexive, smooth and strictly convex Banach space for arbitrary operator. As an application, we consider other kinds of elementary operators defined on the spaces Cp:1≤p<∞(ℋ){C}_{p{:}_{1\le p\lt \infty }}\left({\mathcal{ {\mathcal H} }}), and finally, we give a counterexample to Mecheri’s result given in this context.
format	article
author	Bachir Ahmed Segres Abdelkader Sayyaf Nawal Ali Ouarghi Khalid
author_facet	Bachir Ahmed Segres Abdelkader Sayyaf Nawal Ali Ouarghi Khalid
author_sort	Bachir Ahmed
title	Range-Kernel orthogonality and elementary operators on certain Banach spaces
title_short	Range-Kernel orthogonality and elementary operators on certain Banach spaces
title_full	Range-Kernel orthogonality and elementary operators on certain Banach spaces
title_fullStr	Range-Kernel orthogonality and elementary operators on certain Banach spaces
title_full_unstemmed	Range-Kernel orthogonality and elementary operators on certain Banach spaces
title_sort	range-kernel orthogonality and elementary operators on certain banach spaces
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/fd0ef4ff2a464b4d81079713fe544c61
work_keys_str_mv	AT bachirahmed rangekernelorthogonalityandelementaryoperatorsoncertainbanachspaces AT segresabdelkader rangekernelorthogonalityandelementaryoperatorsoncertainbanachspaces AT sayyafnawalali rangekernelorthogonalityandelementaryoperatorsoncertainbanachspaces AT ouarghikhalid rangekernelorthogonalityandelementaryoperatorsoncertainbanachspaces
_version_	1718371757548634112

Range-Kernel orthogonality and elementary operators on certain Banach spaces

Ejemplares similares