A caricature of dilation theory

Published 20 Apr 2020 in math.OA and math.FA | (2004.09255v1)

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.

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