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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Trivedi, Shailesh | - |
dc.date.accessioned | 2023-08-17T10:48:01Z | - |
dc.date.available | 2023-08-17T10:48:01Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://www.ams.org/journals/proc/2019-147-06/S0002-9939-2019-14410-5/ | - |
dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11480 | - |
dc.description.abstract | Recently, 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.iso | en | en_US |
dc.publisher | AMS | en_US |
dc.subject | Mathematics | en_US |
dc.title | Von Neumann’s inequality for commuting operator-valued multishifts | en_US |
dc.type | Article | en_US |
Appears in Collections: | Department of Mathematics |
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