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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11480
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dc.contributor.authorTrivedi, Shailesh-
dc.date.accessioned2023-08-17T10:48:01Z-
dc.date.available2023-08-17T10:48:01Z-
dc.date.issued2019-
dc.identifier.urihttps://www.ams.org/journals/proc/2019-147-06/S0002-9939-2019-14410-5/-
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11480-
dc.description.abstractRecently, Hartz proved that every commuting contractive classical multishift with non-zero weights satisfies the matrix-version of von Neumann’s inequality. We show that this result does not extend to the class of commuting operator-valued multishifts with invertible operator weights. In fact, we show that if and are commuting contractive -tuples of operators such that satisfies the matrix-version of von Neumann’s inequality and is in the algebraic spectrum of , then the tensor product satisfies von Neumann’s inequality if and only if satisfies von Neumann’s inequality. We also exhibit several families of operator-valued multishifts for which von Neumann’s inequality always holds.en_US
dc.language.isoenen_US
dc.publisherAMSen_US
dc.subjectMathematicsen_US
dc.titleVon Neumann’s inequality for commuting operator-valued multishiftsen_US
dc.typeArticleen_US
Appears in Collections:Department of Mathematics

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