2 citations · 6 across the 22 of their papers we have counts for
9 papers · 1 filter
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…
Closed and Hypo- Operators on Hilbert Spaces
P. Sam Johnson
A bounded linear operator on a Hilbert space is said to be an (hypo-) operator if ranges of and are equal (range of is containe…
Generalized Principal Pivot Transform and its Inheritance Properties
K. Kamaraj, P. Sam Johnson, Sachin Manjunath Naik
In this paper, some more properties of the generalized principal pivot transform are derived. Necessary and sufficient conditions for the equality between Moore-Penrose inverse of…
Reverse Order Law for Generalized Inverses with Indefinite Hermitian Weights
K. Kamaraj, P. Sam Johnson, Athira Satheesh
In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse of a product of two matrices in an indefinite inner product space (IIPS) in…
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…