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A caricature of dilation theory

A caricature of dilation theory 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Operator Theory Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © Tusi Mathematical Research Group (TMRG) 2021
ISSN
2662-2009
eISSN
2538-225X
DOI
10.1007/s43036-021-00157-y
Publisher site
See Article on Publisher Site

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.

Journal

Advances in Operator TheorySpringer Journals

Published: Aug 5, 2021

Keywords: Dilation; Isometries; Injective maps; Operator theory; 47A20; 04A05

References