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On the Intertwining of partial derivative D-Isometries

DSpace at IIT Bombay

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Field Value
 
Title On the Intertwining of partial derivative D-Isometries
 
Creator ATHAVALE, A
 
Subject spectral inclusion
tuples
operators
spaces
strictly pseudoconvex
subnormal
partial derivative d-isometry
 
Description Let D be a strictly pseudoconvex bounded domain in C(m) with C(2) boundary partial derivative D. If a subnormal m-tuple T of Hilbert space operators has the spectral measure of its minimal normal extension N supported on partial derivative D, then T is referred to as a partial derivative D-isometry. Using some non-trivial approximation theorems in the theory of several complex variables, we establish a commutant lifting theorem for those partial derivative D-isometries whose (joint) Taylor spectra are contained in a special superdomain Omega of D. Further, we provide a function-theoretic characterization of those subnormal tuples whose Taylor spectra are contained in Omega and that are quasisimilar to a certain (fixed) partial derivative D-isometry T (of which the multiplication tuple on the Hardy space of the unit ball in C(m) is a rather special example).
 
Publisher BIRKHAUSER VERLAG AG
 
Date 2011-07-19T01:37:01Z
2011-12-26T12:50:56Z
2011-12-27T05:37:10Z
2011-07-19T01:37:01Z
2011-12-26T12:50:56Z
2011-12-27T05:37:10Z
2008
 
Type Article
 
Identifier COMPLEX ANALYSIS AND OPERATOR THEORY, 2(3), 417-428
1661-8254
http://dx.doi.org/10.1007/s11785-007-0040-z
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5135
http://hdl.handle.net/10054/5135
 
Language en