24 citations · 58 across the 57 of their papers we have counts for
79 papers
Inner and characteristic functions in polydiscs
Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar
Characteristic functions of linear operators are analytic functions that serve as complete unitary invariants. Such functions, as long as they are built in a natural and canonical…
Contractive representations of odometer semigroup
Anindya Ghatak, Narayan Rakshit, Jaydeb Sarkar +1
Given a natural number , the odometer semigroup , also known as the adding machine or the Baumslag-Solitar monoid with two generators, is a well-known object in grou…
Analytic primes, -ideals, and -sets in
Deepak K. D, Jaydeb Sarkar, Sreejith Siju
We investigate the structure of -sets, -ideals, and a newly introduced notion of analytic primes in , where denotes the Banach al…
Isometric pairs with compact and normal cross-commutator
Sandipan De, Jaydeb Sarkar, P Shankar +1
We represent and classify pairs of commuting isometries acting on Hilbert spaces that satisfy the condition \[ [V_1^*, V_2] = \text{compact and normal}, \] where $[V_1…
Pairs of inner projections and two applications
Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar
Orthogonal projections onto closed subspaces of of the form for inner functions on are referred to as inner projections,…
A Bishop-Phelps-Bollobas theorem for disc algebra
Neeru Bala, Jaydeb Sarkar, Aryaman Sensarma
Let represent the open unit disc in . Denote by the disc algebra, and the Banach space of all boun…