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arXiv · 2004.09255

A caricature of dilation theory

B V Rajarama Bhat·Sandipan De·Narayan Rakshit
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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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B V Rajarama Bhat, Sandipan De, Narayan Rakshit. 2020-04-20. A caricature of dilation theory. https://arxiv.org/abs/2004.09255

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