Representations of B^a(E)
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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.
Publication data added, corrected an ambiguity in the formulation of Corollary 1.20 (present also in the published version) and adjusted the proof appropriately
Publication data added, corrected an ambiguity in the formulation of Corollary 1.20 (present also in the published version) and adjusted the proof appropriately