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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17695
Title: A short note on the similarity of operator-valued multishifts
Authors: Trivedi, Shailesh
Keywords: Mathematics
Operator-valued multishifts
Unitary equivalence
Diagonal kernels
Issue Date: Jul-2024
Publisher: Springer
Abstract: A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This generalizes several existing results of the unitary equivalence of two (multi)shifts. Further, we utilize the aforementioned similarity criteria to determine the similarity between two tuples of operators of multiplication by the coordinate functions on certain reproducing kernel Hilbert spaces determined by diagonal kernels.
URI: https://link.springer.com/article/10.1007/s00013-024-02026-5
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17695
Appears in Collections:Department of Mathematics

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