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

Published 3 Nov 2022 in math.FA | (2211.01530v3)

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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