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

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

2011-10-26

arxiv.org/abs/1110.5833v1

Mathematics

Operator Algebras

82 pages

Scientific paper

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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