English

Regular normed bimodules

Operator Algebras 2007-05-23 v1 Functional Analysis

Abstract

In this article, we will give a characterization of Banach bimodules over CC^*-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}).

Keywords

Cite

@article{arxiv.math/0609159,
  title  = {Regular normed bimodules},
  author = {Chi-Keung Ng},
  journal= {arXiv preprint arXiv:math/0609159},
  year   = {2007}
}

Comments

to appear in Journal of Operator Theory