Some Results on Λ-Banach Frames for Operator Spaces

Authors

  • Mayur Puri Goswami
  • H. K. Pathak

Keywords:

Retro Banach frame, operator Banach frame, Λ-Banach frame.

Abstract

In this paper, a new notion of Λ-Banach frame is introduced as a generalization of retro Banach frame for the space of bounded linear operators. Some results regarding characterizations and construction of Λ-Banach frames are presented. We extend results for retro Banach frame to the class of Λ-Banach frame. In the sequel, finite sum of Λ-Banach frames for operator spaces has been discussed. Finally, some perturbation and stability results on Λ-Banach frames have been given.

Key words and phrases. Retro Banach frame, operator Banach frame, Λ-Banach frame.

1991 Mathematics Subject Classification. 42C15, 42A38

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Published

2025-05-18

How to Cite

Mayur Puri Goswami, & H. K. Pathak. (2025). Some Results on Λ-Banach Frames for Operator Spaces. Jordan Journal of Mathematics and Statistics, 11(2), 167–192. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/976

Issue

Vol. 11 No. 2 (2018)

Section

Articles