Operator-Valued Measures, Dilations, and the Theory of Frames
Operator Algebras
2012-07-23 v2 Functional Analysis
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.
Cite
@article{arxiv.1110.5833,
title = {Operator-Valued Measures, Dilations, and the Theory of Frames},
author = {Deguang Han and David R. Larson and Bei Liu and Rui Liu},
journal= {arXiv preprint arXiv:1110.5833},
year = {2012}
}
Comments
88 pages, to appear in Memoirs of the American Mathematical Society