Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 8, Number 4 (2017), 531-546.
Minimal reducing subspaces of an operator-weighted shift
We introduce a family consisting of invertible matrices with exactly one nonzero entry in each row and each column. The elements of are possibly mutually noncommuting, and they need not be normal or self-adjoint. We consider an operator-valued unilateral weighted shift with a uniformly bounded sequence of weights belonging to , and we describe its minimal reducing subspaces.
Ann. Funct. Anal. Volume 8, Number 4 (2017), 531-546.
Received: 18 August 2016
Accepted: 9 January 2017
First available in Project Euclid: 29 June 2017
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Hazarika, Munmun; Gogoi, Pearl S. Minimal reducing subspaces of an operator-weighted shift. Ann. Funct. Anal. 8 (2017), no. 4, 531--546. doi:10.1215/20088752-2017-0017. https://projecteuclid.org/euclid.afa/1498723220