Now showing items 1-6 of 6

• #### Dilation Theory of Contractions and Nevanlinna-Pick 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 r-contraction. ﻿

(2013-08-02)
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 r-contraction 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 complex-valued 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 non-homogeneous ...
• #### Operator Theory on Symmetrized Bidisc and Tetrablock-some Explicit Constructions ﻿

(2018-07-26)
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 ﻿

(2017-12-10)
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 ...