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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/10350

Title: Quasisimilarity-invariance of joint spectra for certain subnormal tuples
Authors: ATHAVALE, A
Keywords: standard operator models
commuting operators
reinhardt measures
n-tuples
inclusion
polydisk
equality
kernels
Issue Date: 2008
Publisher: OXFORD UNIV PRESS
Citation: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 40(), 759-769
Abstract: We investigate the invariance of the joint Taylor spectrum and the joint essential Taylor spectrum under quasisimilarity in the context of a special class of subnormal operator tuples associated with the open unit ball B-2m in C-m. We show, in particular, that a subnormal m-tuple that is quasisimilar to either the Szego tuple or the Bergman tuple has its Taylor spectrum equal to the closure B-2m of B-2m and its essential Taylor spectrum equal to the unit sphere S2m-1, the topological boundary of B-2m. A parallel investigation goes through for a class of subnormal tuples associated with the open unit polydisk D-m in C-m.
URI: http://dx.doi.org/10.1112/blms/bdn054
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10350
http://hdl.handle.net/10054/10350
ISSN: 0024-6093
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