Decomposition of frames in Banach spaces

10.30495/maca.2025.2051535.1125
Volume 7, Issue 1
Winter 2025
Pages 33-48

Document Type : Original Article

Author

Mayur Puri Goswami, Department of Mathematics, Kalyan PG College, Bhilai Nagar, Durg (C.G.) 490006, India

Abstract
In this paper, the decomposition of the retro Banach frame (RBF) and operator Banach frame (OBF) into two infinite subsequences has been discussed. In the sequel, we further decompose OBFs into Block sequences and construct OBFs. We demonstrate a result regarding the image of an OBF by a bounded linear operator is also an OBF. Moreover, results related to the perturbation and stability of OBFs have been proved. In the end, we deal with the problem related to the Feichtinger Conjecture as an application.

Keywords

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  • Receive Date 03 January 2025
  • Revise Date 24 January 2025
  • Accept Date 30 January 2025