The reflexive closure of the adjointable operators
Operator Algebras
2015-02-03 v3
Abstract
Given a Hilbert module E over a C*-algebra A, we show that the collection of all bounded A-module operators acting on E forms the reflexive closure for the algebra of the adjointable operators. We also make an observation regarding the representation theory of the left centralizer algebra of a C*-algebra and use it to give an intuitive proof of a related result of H. Lin
Keywords
Cite
@article{arxiv.1401.1143,
title = {The reflexive closure of the adjointable operators},
author = {Elias G. Katsoulis},
journal= {arXiv preprint arXiv:1401.1143},
year = {2015}
}
Comments
The paper will appear in the Illinois J. Math