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A short note on the similarity of operator-valued multishifts

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dc.contributor.author Trivedi, Shailesh
dc.date.accessioned 2025-02-13T09:19:35Z
dc.date.available 2025-02-13T09:19:35Z
dc.date.issued 2024-07
dc.identifier.uri https://link.springer.com/article/10.1007/s00013-024-02026-5
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17695
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher Springer en_US
dc.subject Mathematics en_US
dc.subject Operator-valued multishifts en_US
dc.subject Unitary equivalence en_US
dc.subject Diagonal kernels en_US
dc.title A short note on the similarity of operator-valued multishifts en_US
dc.type Article en_US


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