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On q-commuting co-extensions and q-commutant lifting
Journal
Linear Algebra and Its Applications
ISSN
00243795
Date Issued
2023-02-01
Author(s)
Bisai, Bappa
Pal, Sourav
Sahasrabuddhe, Prajakta
Abstract
Consider a nonzero contraction T and a bounded operator X satisfying TX=qXT for a complex number q. There are some interesting results in the literature on q-commuting dilation and q-commutant lifting of such pair (T,X) when |q|=1. Here we improve a few of them to the class of scalars q satisfying [Formula presented].
Volume
658
Publication link
Subjects