3 citations · 3 across the 6 of their papers we have counts for
8 papers
Schmidt subspaces of block Hankel operators
Arup Chattopadhyay, Soma Das, Chandan Pradhan
In scalar-valued Hardy space, the class of Schmidt subspaces for a bounded Hankel operator are closely related to nearly -invariant subspaces, as described by Gérard and Pushn…
Commutants and Complex Symmetry of Finite Blaschke Product Multiplication Operator in $\bm{L^2(\T)}$
Arup Chattopadhyay, Soma Das
Consider the multiplication operator in $L^2(\T)$, where the symbol is a finite Blaschke product. In this article, we characterize the commutant of in $L^2(\T)$…
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…
Second order trace formulae
Arup Chattopadhyay, Soma Das, Chandan Pradhan
Koplienko \cite{Ko} found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class . Later, Neidhardt introduce…
Koplienko-Neidhardt trace formula for unitaries A new proof
Arup Chattopadhyay, Soma Das, Chandan Pradhan
Koplienko \cite{Ko} found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class . Later in 1988, a similar f…
Study of nearly invariant subspaces with finite defect in Hilbert spaces
Arup Chattopadhyay, Soma Das
In this article, we briefly describe nearly invariant subspaces with finite defect for a shift operator having finite multiplicity acting on a separable Hilbert space…
Almost invariant subspaces of the shift operator on vector-valued Hardy spaces
Arup Chattopadhyay, Soma Das, Chandan Pradhan
In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generaliza…
Kernels of Perturbed Toeplitz Operators in vector-valued Hardy spaces
Arup Chattopadhyay, Soma Das, Chandan Pradhan
Recently, Liang and Partington \cite{YP} show that kernels of finite-rank perturbations of Toeplitz operators are nearly invariant with finite defect under the backward shift opera…