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arXiv · 1401.1143

The reflexive closure of the adjointable operators

Elias G. Katsoulis
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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

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Elias G. Katsoulis. 2014-01-06. The reflexive closure of the adjointable operators. https://arxiv.org/abs/1401.1143

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