8 citations · 24 across the 19 of their papers we have counts for
5 papers · 1 filter
On certain Toeplitz operators and associated completely positive maps
Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau
We study Toeplitz operators with respect to a commuting -tuple of bounded operators which satisfies some additional conditions coming from complex geometry. Then we consider a p…
On certain commuting isometries, joint invariant subspaces and C*-algebras
B. Krishna Das, Ramlal Debnath, Jaydeb Sarkar
In this paper, motivated by the Berger, Coburn and Lebow and Bercovici, Douglas and Foias theory for tuples of commuting isometries, we study analytic representations and joint inv…
Isometric dilations and von Neumann inequality for a class of tuples in the polydisc
Sibaprasad Barik, B. Krishna Das, Kalpesh J. Haria +1
The celebrated Sz.-Nagy and Foias and Ando theorems state that a single contraction, or a pair of commuting contractions, acting on a Hilbert space always possesses isometric dilat…
Toeplitz operators on the symmetrized bidisc
Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau
The symmetrized bidisc has been a rich field of holomorphic function theory and operator theory. A certain well-known reproducing kernel Hilbert space of holomorphic functions on t…
Rank of a co-doubly commuting submodule is 2
Arup Chattopadhyay, B. Krishna Das, Jaydeb Sarkar
We prove that the rank of a non-trivial co-doubly commuting submodule is . More precisely, let be two inner functions. If $\mathcal{Q}_φ = H^2(\ma…