On a Weighted Retro Banach Frames for Discrete Signal Spaces
Mahesh C. Joshi
Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263002, India.
Raj Kumar
Department of Mathematics, Kirorimal College, University of Delhi, Delhi-110007, India.
Ram Bharat Singh *
Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263002, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper we introduce a weighted retro Banach frame for a discrete signal space. Necessary and sufficient condition for the existence of weighted retro Banach frames is obtained. Construction of weighted retro Banach frames from bounded linear operator is discussed. A Paley-Wiener type perturbation result for weighted retro Banach frame in Banach space setting is given.
Keywords: Frames, Banach frames, retro Banach frames, Perturbation.