Banach空间上有界算子空间的对偶

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2021-01-01 DOI:10.1515/conop-2020-0109

F. Botelho, R. Fleming

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引用次数: 1

摘要

摘要给定Banach空间X和Y，讨论𝒧(X, Y)的对偶空间。本文研究了Banach空间张量积的结果，主要目的是描述有界算子空间的对偶。在一些情况下，在X和Y的各种假设下，答案最好是X**和Y*的射影张量积。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

Abstract 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*.

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