Browsing Mathematics (MA) by Advisor "Bhattacharyya, Tirthankar"
Now showing items 16 of 6

Dilation Theory of Contractions and NevanlinnaPick Interpolation Problem
In this article, we give two different proofs of the existence of the minimal isometric dilation of a single contraction. Then using the existence of a unitary dilation of a contraction, we prove the `von Neumann's ... 
Dilations, Functoinal Model And A Complete Unitary Invariant Of A rcontraction.
(20130802)A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : z 1 ≤1, z 2 ≤1} C2 is a spectral set, is called a rcontraction in the literature. For a contraction P and a bounded commutant ... 
Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space
Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand the concept of holomorphicity of a complexvalued function. Suppose a function f defined on O takes values in a locally convex ... 
On the Geometry and Operator Theory of the Bidisc and the Symmetrized Bidisc
This work is concerned with the geometric and operator theoretic aspects of the bidisc and the symmetrized bidisc. First we have focused on the geometry of these two do mains. The symmetrized bidisc, a nonhomogeneous ... 
Operator Theory on Symmetrized Bidisc and Tetrablocksome Explicit Constructions
(20180726)A pair of commuting bounded operators (S; P ) acting on a Hilbert space, is called a contraction, if it has the symmetrised bides = f(z1 + z2; z1z2) : jz1j 1; jz2j 1g C2 as a spectral set. For every contraction (S; P ), ... 
Some Problems in Multivariable Operator Theory
(20171210)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 contractive tuples. These condone deals ...