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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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1

Some Problems in Multivariable Operator Theory

Sarkar, Santanu January 2014 (has links) (PDF)
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)
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

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