2 citations · 6 across the 10 of their papers we have counts for
15 papers
Dilations of Linear Maps on Vector Spaces
K. Mahesh Krishna, P. Sam Johnson
We continue the study dilation of linear maps on vector spaces introduced by Bhat, De, and Rakshit. This notion is a variant of vector space dilation introduced by Han, Larson, Liu…
Commutators Close to the Identity in Unital C*-Algebras
K. Mahesh Krishna, P. Sam Johnson
Let be an infinite dimensional Hilbert space and be the C*-algebra of all bounded linear operators on , equipped with the oper…
Expansion of approximate Bessel sequences to approximate Schauder frames for Banach spaces
K. Mahesh Krishna, P. Sam Johnson
It is known in Hilbert space frame theory that a Bessel sequence can be expanded to a frame. Contrary to Hilbert space situation, using a result of Casazza and Christensen, we show…
Fuglede-Putnam type commutativity theorems for operators
P. Sam Johnson, Vinoth A., K. Kamaraj
Fuglede-Putnam theorem is not true in general for operators on Hilbert spaces. We prove that under some conditions the theorem holds good. If the adjoint operation is replac…
New Identity on Parseval p-Approximate Schauder Frames and Applications
K. Mahesh Krishna, P. Sam Johnson
A very useful identity for Parseval frames for Hilbert spaces was obtained by Balan, Casazza, Edidin, and Kutyniok. In this paper, we obtain a similar identity for Parseval p-appro…
Perturbation of p-approximate Schauder frames for separable Banach spaces
K. Mahesh Krishna, P. Sam Johnson
Paley-Wiener theorem for frames for Hilbert spaces, Banach frames, Schauder frames and atomic decompositions for Banach spaces are known. In this paper, we derive Paley-Wiener theo…