SOME RESULTS ON GEOMETRIC PROPERTIES OF FRAMES IN BANACH SPACES


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Authors

  • B. Semthanga Kirori Mal College, University of Delhi. Delhi-110007.
  • Shikha Gupta Jain MLS University
  • S.K. Gandhi MLS University, Udaipur, Rajasthan.

Keywords:

Frames, Banach frames, Exact frame, Frame; Atomic System, Cone, A-modulus

Abstract

In this paper, we have defined A- cone and related concepts in Banach spaces and prove a result concerning convergence of a sequence in an A- cone. Also, atomic system for a subset of a Banach space is defined and proved that if a Banach space has an atomic system, then every subset of it also has an atomic system.

Author Biographies

B. Semthanga, Kirori Mal College, University of Delhi. Delhi-110007.

Assistant Professor

Department of Mathematics, Kirori Mal College, University of Delhi, Delhi-110007.

S.K. Gandhi, MLS University, Udaipur, Rajasthan.

Assistant Professor

Department of Mathematics and Statistics

MLS University, Udaipur, Rajasthan.

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Published

2024-11-18

How to Cite

Semthanga, B., Jain, S. G., & Gandhi, S. (2024). SOME RESULTS ON GEOMETRIC PROPERTIES OF FRAMES IN BANACH SPACES. Results in Nonlinear Analysis, 7(4), 45–51. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/501