The dual of the space of bounded operators on a Banach space

Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best b...

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Auteurs principaux:	Botelho Fernanda, Fleming Richard J.
Format:	article
Langue:	EN
Publié:	De Gruyter 2021
Sujets:	tensor products dual spaces dual of spaces of operators primary 46b78 secondary 46b10 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/c2f9e191d1d74903b504da3138ec3fa0
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id	oai:doaj.org-article:c2f9e191d1d74903b504da3138ec3fa0
record_format	dspace
spelling	oai:doaj.org-article:c2f9e191d1d74903b504da3138ec3fa02021-12-05T14:10:45ZThe dual of the space of bounded operators on a Banach space2299-328210.1515/conop-2020-0109https://doaj.org/article/c2f9e191d1d74903b504da3138ec3fa02021-03-01T00:00:00Zhttps://doi.org/10.1515/conop-2020-0109https://doaj.org/toc/2299-3282Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best be given as the projective tensor product of X** and Y*.Botelho FernandaFleming Richard J.De Gruyterarticletensor productsdual spacesdual of spaces of operatorsprimary 46b78secondary 46b10MathematicsQA1-939ENConcrete Operators, Vol 8, Iss 1, Pp 48-59 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	tensor products dual spaces dual of spaces of operators primary 46b78 secondary 46b10 Mathematics QA1-939
spellingShingle	tensor products dual spaces dual of spaces of operators primary 46b78 secondary 46b10 Mathematics QA1-939 Botelho Fernanda Fleming Richard J. The dual of the space of bounded operators on a Banach space
description	Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best be given as the projective tensor product of X** and Y*.
format	article
author	Botelho Fernanda Fleming Richard J.
author_facet	Botelho Fernanda Fleming Richard J.
author_sort	Botelho Fernanda
title	The dual of the space of bounded operators on a Banach space
title_short	The dual of the space of bounded operators on a Banach space
title_full	The dual of the space of bounded operators on a Banach space
title_fullStr	The dual of the space of bounded operators on a Banach space
title_full_unstemmed	The dual of the space of bounded operators on a Banach space
title_sort	dual of the space of bounded operators on a banach space
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/c2f9e191d1d74903b504da3138ec3fa0
work_keys_str_mv	AT botelhofernanda thedualofthespaceofboundedoperatorsonabanachspace AT flemingrichardj thedualofthespaceofboundedoperatorsonabanachspace AT botelhofernanda dualofthespaceofboundedoperatorsonabanachspace AT flemingrichardj dualofthespaceofboundedoperatorsonabanachspace
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The dual of the space of bounded operators on a Banach space

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