Approximative Reconstruction Property in Banach Spaces

Authors

  • Tara Singh
  • Chander Shekhar
  • G. S. Rathore

Keywords:

Reconstruction property, Approximative reconstruction property.

Abstract

Casazza and Christensen in [5] introduced and studied the reconstruction property in Banach spaces. In this paper, we defined approximative reconstruction property (ARP) in a Banach space and give examples for the existence of ARP. A necessary and sufficient condition for a Banach space to have an approximative reconstruction property is given. Finally, we give some Paley-Wiener type perturbations results concerning the approximative reconstruction property in Banach spaces.

Key words and phrases. Reconstruction property, Approximative reconstruction property.

2000 Mathematics Subject Classification. 40H05, 46A45

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Published

2025-05-18

How to Cite

Tara Singh, Chander Shekhar, & G. S. Rathore. (2025). Approximative Reconstruction Property in Banach Spaces. Jordan Journal of Mathematics and Statistics, 14(1), 1–15. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/815

Issue

Vol. 14 No. 1 (2021)

Section

Articles

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