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)
| Identifer | oai:union.ndltd.org:IISc/oai:etd.ncsi.iisc.ernet.in:2005/2897 |
| Date | January 2014 |
| Creators | Sarkar, Santanu |
| Contributors | Bhattacharyya, Tirthankar |
| Source Sets | India Institute of Science |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
| Relation | G26318 |
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