Representations of B^a(E)

Details Representations of B^a(E) Representations of B^a(E)

2004-10-28

arxiv.org/abs/math/0410607v3

Infin. Dimens. Anal. Quantum Probab. Relat. Top., 9 (47--66) 2006

Mathematics

Operator Algebras

Publication data added, corrected an ambiguity in the formulation of Corollary 1.20 (present also in the published version) an

Scientific paper

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.

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