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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De Gruyter
2021
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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) |
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tensor products dual spaces dual of spaces of operators primary 46b78 secondary 46b10 Mathematics QA1-939 |
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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 |
_version_ |
1718371769791807488 |