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

Given Banach spaces and , we ask about the dual space of the ( , ). 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 and , the answer can best be given...

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Bibliographic Details
Published in:Concrete operators (Warsaw, Poland) Poland), 2021-03, Vol.8 (1), p.48-59
Main Authors: Botelho, Fernanda, Fleming, Richard J.
Format: Article
Language:English
Subjects:
dual of spaces of operators
dual spaces
Primary 46B78
secondary 46B10
Tensor products
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Summary:Given Banach spaces and , we ask about the dual space of the ( , ). 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 and , the answer can best be given as the projective tensor product of and
ISSN:2299-3282
2299-3282
DOI:10.1515/conop-2020-0109