Regular normed bimodules

Details Regular normed bimodules Regular normed bimodules

2006-09-06

arxiv.org/abs/math/0609159v1

Mathematics

Operator Algebras

to appear in Journal of Operator Theory

Scientific paper

In this article, we will give a characterization of Banach bimodules over $C^*$-algebras of compact operators that arises from operator spaces as well as a characterization of (F)-Banach bundles amongst all (H)-Banach bundles over a hyper-Stonian space. These two characterizations are concerned with whether certain natural map from a Banach bimodule to its canonical bidual is isometric (we call such bimodule \emph{regular}).

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