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|Title: ||Quasisimilarity-invariance of joint spectra for certain subnormal tuples|
|Authors: ||ATHAVALE, A|
|Keywords: ||standard operator models|
|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.|
|Appears in Collections:||Article|
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