Operator-Valued Measures, Dilations, and the Theory of Frames

Published 26 Oct 2011 in math.OA and math.FA | (1110.5833v2)

Abstract: We develop elements of a general dilation theory for operator-valued measures and bounded linear maps between operator algebras that are not necessarily completely-bounded. We prove our main results by extending and generalizing some known results from the theory of frames and framings.

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