5 papers
Algebraic Properties of Toeplitz operators on the symmetrized polydisk
Bata Krishna Das, Haripada Sau
This paper introduces the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in -- the symmetrized polydisk.
Interpolating sequences and the Toeplitz corona theorem on the symmetrized bidisk
Tirthankar Bhattacharyya, Haripada Sau
This paper is a continuation of work done in \cite{BS}. It contains two new theorems about bounded holomorphic functions on the symmetrized bidisk -- a characterization of interpol…
Rational dilation of tetrablock contractions revisited
Joseph A. Ball, Haripada Sau
A classical result of Sz.-Nagy asserts that a Hilbert-space contraction operator can be lifted to an isometry . A more general multivariable setting of recent interest for t…
Toeplitz operators and pseudo-extensions
Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau
There are three main results in this paper. First, we find an easily computable and simple condition which is necessary and sufficient for a commuting tuple of contractions to poss…
Functional Models and Invariant Subspaces for Pairs of Commuting Contractions
Joseph A. Ball, Haripada Sau
The goal of the present paper is to push Sz.-Nagy--Foias model theory for a completely nonunitary Hilbert-space contraction operator , to the case of a commuting pair of contrac…