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Some Problems in Multivariable Operator Theory

Electronic Theses of Indian Institute of Science

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Field Value
 
Title Some Problems in Multivariable Operator Theory
 
Creator Sarkar, Santanu
 
Subject Operator Theory
Functions of Several Complex Variables
Multivariable Operator Theory
Contractive Tuples
Wandering Subspaces
Bergman Space
Dirichlet Space
Maximal Contractive Tuples
Invariant Subspaces
Polydisc
Mathematics
 
Description In this thesis we have investigated two different types of problems in multivariable operator theory. The first one deals with the defect sequence for contractive tuples and maximal con-tractive tuples. These condone deals with the wandering subspaces of the Bergman space and the Dirichlet space over the polydisc. These are described in thefollowing two sections.
(I) The Defect Sequence for ContractiveTuples
LetT=(T1,...,Td)bead-tuple of bounded linear operators on some Hilbert space
H. We say that T is a row contraction, or, acontractive tuplei f the row operator
(Pl refer the abstract pdf file)
 
Contributor Bhattacharyya, Tirthankar
 
Date 2017-12-10T10:08:39Z
2017-12-10T10:08:39Z
2017-12-10
2014
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/handle/2005/2897
http://etd.ncsi.iisc.ernet.in/abstracts/3759/G26318-Abs.pdf
 
Language en_US
 
Relation G26318