Banach Λ-Frames for Operator Spaces

Mukesh Singh, Renu Chugh

Department of Mathematics, Goverment College, Bahadurgarh, India.
Department of Mathematics, Maharishi Dayanand University, Rohtak, India.

DOI: 10.4236/apm.2014.48048                

Abstract

The Banach frame for a Banach space X can reconstruct each vector in X by the pre-frame operator or the reconstruction operator. The Banach Λ-frame for operator spaces was introduced by Kaushik, Vashisht and Khattar [Reconstruction Property and Frames in Banach Spaces, Palestine Journal of Mathematics, 3(1), 2014, 11-26]. In this paper we give necessary and sufficient conditions for the existence of the Banach Λ-frames. A Paley-Wiener type stability theorem for Λ-Banach frames is discussed.

Keywords

Frames, Banach Frames, Reconstruction Property, Perturbation

Conflicts of Interest

The authors declare no conflicts of interest.

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