2 citations · 6 across the 18 of their papers we have counts for
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Lipschitz p-Approximate Schauder Frames
K. Mahesh Krishna, P. Sam Johnson
With the aim of representing subsets of Banach spaces as an infinite series using Lipschitz functions, we study a variant of metric frames which we call Lipschitz p-approximate Sch…
Controlled continuous -frames and their duals in Hilbert spaces
Mohamed Rossafi, Fakhr-dine Nhari, P. Sam Johnson
In this paper, we characterize and study the concept of controlled continuous -frame which is an extension of continuous -frame in Hilbert spaces. We introduce the concept of…
P-Operators on Hilbert Spaces
Rashid A., P. Sam Johnson
A real square matrix is called a P-matrix if all its principal minors are positive. Using the sign non-reversal property of matrices, the notion of P-matrix has been recently e…
Operator-Valued p-Approximate Schauder Frames
K. Mahesh Krishna, P. Sam Johnson
We give an operator-algebraic treatment of theory of p-approximate Schuader frames which includes the theory of operator-valued frames by Kaftal, Larson, and Zhang [\textit{Trans.…
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…