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Compact Operators on Hilbert right modules

Published 26 Mar 2014 in math.OA | (1403.6724v1)

Abstract: We generalize some results on compact operators on Hilbert spaces to "compact" operators on some Hilbert right W*-modules. We present in this frame the Schatten decomposition of the compact operators, the trace, the Banach Lp-spaces and their duals, the Hilbert-Schmitt operators, and the integral operators as an example of Hilbert-Schmitt operators.

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