14 citations · 56 across the 34 of their papers we have counts for
6 papers · 2 filters
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…
Dilation theorem for p-approximate Schauder frames for separable Banach spaces
K. Mahesh Krishna, P. Sam Johnson
Famous Naimark-Han-Larson dilation theorem for frames in Hilbert spaces states that every frame for a separable Hilbert space is image of a Riesz basis under an ortho…
Factorable Weak Operator-Valued Frames
K. Mahesh Krishna, P. Sam Johnson
Let and be Hilbert spaces and be a sequence of bounded linear operators from to . The study frames for Hilber…
Frames for Metric Spaces
K. Mahesh Krishna, P. Sam Johnson
We make a systematic study of frames for metric spaces. We prove that every separable metric space admits a metric -frame. Through Lipschitz-free Banach spaces we sh…
Towards characterizations of approximate Schauder frame and its duals for Banach spaces
K. Mahesh Krishna, P. Sam Johnson
We begin the study of characterizations of recently defined approximate Schauder frame (ASF) and its duals for separable Banach spaces. We show that, under some conditions, both AS…
Multipliers for Lipschitz p-Bessel sequences in metric spaces
K. Mahesh Krishna, P. Sam Johnson
The notion of multipliers in Hilbert space was introduced by Schatten in 1960 using orthonormal sequences and was generalized by Balazs in 2007 using Bessel sequences. This was ext…