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arXiv · 1110.5833

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

Deguang Han·David R. Larson·Bei Liu·Rui Liu
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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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Deguang Han, David R. Larson, Bei Liu, Rui Liu. 2012-07-20. Operator-Valued Measures, Dilations, and the Theory of Frames. https://arxiv.org/abs/1110.5833

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