A caricature of dilation theory
Operator Algebras
2020-04-21 v1 Functional Analysis
Abstract
We present a set-theoretic version of some basic dilation results of operator theory. The results we have considered are Wold decomposition, Halmos dilation, Sz. Nagy dilation, inter-twining lifting, commuting and non-commuting dilations, BCL theorem etc. We point out some natural generalizations and variations.
Keywords
Cite
@article{arxiv.2004.09255,
title = {A caricature of dilation theory},
author = {B V Rajarama Bhat and Sandipan De and Narayan Rakshit},
journal= {arXiv preprint arXiv:2004.09255},
year = {2020}
}
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13 pages