Banach bimodule-valued positive maps: Inequalities and induced representations

Abstract

In this paper, we consider representations induced by general positive and completely positive sesquilinear maps with values in ordered Banach bimodules, such as the space of trace-class operators and the spaces of bounded linear operators from a von Neumann algebra into the dual of another von Neumann algebra. Also, we deduce some new inequalities for these maps.

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Cited by in corpus (1)

• Cauchy-Schwarz inequalities for maps in noncommutative Lp-spaces