On Excess of Retro Banach Frames


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Abstract

The excess of a frame is the greatest number of elements that can be removed from a given frame, yet leave a set which is a frame for the underlying space. We present a characterization of retro Banach frames in Banach spaces with finite excess. A sufficient condition for the existence of a retro Banach frame with infinite excess is obtained.

About the authors

G. Verma

University of South Australia

Author for correspondence.
Email: Geetika.Verma@unisa.edu.au
Australia, Adelaide

L. K. Vashisht

University of Delhi

Author for correspondence.
Email: lalitkvashisht@gmail.com
India, Delhi

M. Singh

Maharshi Dayanand University

Author for correspondence.
Email: mukeshmdu2010@gmail.com
India, Rohtak, Haryana


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