Record Details

Quasisimilarity-invariance of joint spectra for certain subnormal tuples

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Quasisimilarity-invariance of joint spectra for certain subnormal tuples
 
Creator ATHAVALE, A
 
Subject standard operator models
commuting operators
reinhardt measures
n-tuples
inclusion
polydisk
equality
kernels
 
Description 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.
 
Publisher OXFORD UNIV PRESS
 
Date 2011-08-22T06:44:41Z
2011-12-26T12:56:14Z
2011-12-27T05:44:38Z
2011-08-22T06:44:41Z
2011-12-26T12:56:14Z
2011-12-27T05:44:38Z
2008
 
Type Article
 
Identifier BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 40(), 759-769
0024-6093
http://dx.doi.org/10.1112/blms/bdn054
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10350
http://hdl.handle.net/10054/10350
 
Language en