14 citations · 56 across the 37 of their papers we have counts for
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Approximately Dual p-Approximate Schauder Frames
K. Mahesh Krishna, P. Sam Johnson
Difficulty in the construction of dual frames for a given Hilbert space led to the introduction of approximately dual frames in Hilbert spaces by Christensen and Laugesen. It becom…
Continuous Welch bounds with Applications
K. Mahesh Krishna
Let be a measure space and be a normalized continuous Bessel family for a finite dimensional Hilbert space of dimension . If the diagon…
Improving Casazza-Kalton-Christensen-van Eijndhoven Perturbation with Applications
K. Mahesh Krishna
Let , be Banach spaces and be an invertible Lipschitz map. Let be a map and…
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…
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…