4 citations · 7 across the 12 of their papers we have counts for
13 papers
Finite-rank commutators of projections onto shift-invariant subspaces
Rounak Biswas, Srijan Sarkar
In this article, using Halmos' two projections theorem, we completely characterize finite-rank commutators of orthogonal projections onto shift-invariant subspaces $ϕ_1 H^2(\mathbb…
On products and partial isometry of Toeplitz operators with operator-valued symbols
Srijan Sarkar
We solve the following problems associated with Toeplitz operators on Hilbert space-valued Hardy spaces over the unit polydisc $\mathbb{D}^n…
Two problems on submodules of
Ramlal Debnath, Srijan Sarkar
Given any shift-invariant closed subspace (aka submodule) of the Hardy space over the unit polydisc (where ), let $R_{z_j}:=M_{z_j}|_{\m…
Unitary parts of Toeplitz operators with operator-valued symbols
E. K. Narayanan, Srijan Sarkar
Motivated by the canonical decomposition of contractions on Hilbert spaces, we investigate when contractive Toeplitz operators on vector-valued Hardy spaces on the unit disc admit…
A note on the column-row property
Samya Kumar Ray, Srijan Sarkar
In this article, we study the following question asked by Michael Hartz in a recent paper \cite{Hartz}: \textit{which operator spaces satisfy the column-row property?} We provide a…
Pure contractive multipliers of some reproducing kernel Hilbert spaces and applications
Srijan Sarkar
A contraction on a Hilbert space is said to be pure if the sequence converges to in the strong operator topology. In this article…
Characterization of C-Symmetric Toeplitz operators for a Class of Conjugations in Hardy Spaces
Arup Chattopadhyay, Soma Das, Chandan Pradhan +1
In this article, we introduce a new class of conjugations in the scalar valued Hardy space and provide a characterization of a complex symmetric Toep…
Pairs of Commuting Pure Contractions and Isometric dilation
Srijan Sarkar
A particular case of the fundamental Sz.-Nagy--Foias functional model for a contraction states that a pure contraction always dilates to a pure isometry. We are interested in the s…
Multiplicities, invariant subspaces and an additive formula
Arup Chattopadhyay, Jaydeb Sarkar, Srijan Sarkar
Let be a commuting tuple of bounded linear operators on a Hilbert space . The multiplicity of is the cardinality of a minimal generating s…
Toeplitz and Asymptotic Toeplitz operators on
Amit Maji, Jaydeb Sarkar, Srijan Sarkar
We initiate a study of asymptotic Toeplitz operators on the Hardy space (over the unit polydisc in ). We also study the Toeplitz op…
Factorizations of Contractions
B. Krishna Das, Jaydeb Sarkar, Srijan Sarkar
The celebrated theorem of Berger, Coburn and Lebow on pairs of commuting isometries can be formulated as follows: a pure isometry on a Hilbert space is a product…
Factorizations of Kernels and Reproducing Kernel Hilbert Spaces
Rani Kumari, Jaydeb Sarkar, Srijan Sarkar +1
The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large cl…
Wandering subspaces of the Bergman space and the Dirichlet space over polydisc
A. Chattopadhyay, B. Krishna Das, Jaydeb Sarkar +1
Doubly commutativity of invariant subspaces of the Bergman space and the Dirichlet space over the unit polydisc (with ) is investigated. We show that for…