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Research Article Open access CC BY 3.0

On a Weighted Retro Banach Frames for Discrete Signal Spaces

Mahesh C. Joshi, Raj Kumar, Ram Bharat Singh

Journal of Advances in Mathematics and Computer Science · pp. 3334–3344 · Published 1 Oct 2014

10.9734/BJMCS/2014/12749

Abstract

In this paper we introduce a weighted retro Banach frame for a discrete signal space. Necessary and sufficient condition for the existence of weighted retro Banach frames is obtained. Construction of weighted retro Banach frames from bounded linear operator is discussed. A Paley-Wiener type perturbation result for weighted retro Banach frame in Banach space setting is given.

Frames Banach frames retro Banach frames Perturbation.

References (12)

  1. 1 A Class of Nonharmonic Fourier Series [DOI]
  2. 2 Continuous and Discrete Wavelet Transforms [DOI]
  3. 3 Painless Nonorthogonal Expansions [DOI]
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  11. 11 ON STABILITY OF BANACH FRAMES [DOI]
  12. 12 On Φ-Schauder frames [DOI]

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