Representations of B^a(E)

Abstract

We present a short and elegant proof of the complete theory of strict representations of the algebra B^a(E) of all adjointable operators on a Hilbert B-module E by operators on a Hilbert C-module F. Aanalogue for W*-modules and normal representations is also proved. As an application we furnish a new proof of Blecher's Eilenberg-Watts theorem.Comment: Publication data added, corrected an ambiguity in the formulation of Corollary 1.20 (present also in the published version) and adjusted the proof appropriatel