Rational dilation and constrained algebras

If a set is a spectral set for an operator T, is it necessarily a complete spectral set? That is, if the spectrum of T is contained in , and von Neumann's inequality holds for T and rational functions with poles o of , does it still hold for all such matrix valued rational functions? Equivalent...

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Bibliographic Details
Main Author: Undrakh, Batzorig
Published: University of Newcastle upon Tyne 2018
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.757186