On Excess of Retro Banach Frames
- Authors: Verma G.1, Vashisht L.K.2, Singh M.3
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Affiliations:
- University of South Australia
- University of Delhi
- Maharshi Dayanand University
- Issue: Vol 54, No 3 (2019)
- Pages: 143-146
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228322
- DOI: https://doi.org/10.3103/S1068362319030026
- ID: 228322
Cite item
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.
Keywords
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