%0 Journal Article %T The reflexive closure of the adjointable operators %A Elias G. Katsoulis %J Mathematics %D 2014 %I arXiv %X 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 %U http://arxiv.org/abs/1401.1143v3