7 papers · 1 filter
Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra
B. Krishna Das, Poornendu Kumar, Haripada Sau
We introduce the notion of Cayley--Hamilton tuples: these are commuting operator tuples that are annihilated by a non-zero polynomial and such that its Taylor joint spectrum coinci…
Hankel operators and Projective Hilbert modules on quotients of bounded symmetric domains
Tirthankar Bhattacharyya, Mainak Bhowmik, Haripada Sau
Consider a bounded symmetric domain with a finite pseudo-reflection group acting on it as a subgroup of the group of automorphisms. This gives rise to quotient domains by means…
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…