Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions

2022/11/03 by Pal, Sourav, Sahasrabuddhe, Prajakta, Tomar, Nitin · 2 citations
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2211.01530

Abstract

In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to Q-commuting contractions. Here we mainly deal with Q-commuting and doubly Q-commuting contractions when Q is a family of unitary operators.

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• The q-commuting contractions and *-regular dilations

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