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Casazza, P.G. and Christensen, O. (2008) The Reconstruction Property in Banach Spaces and a Perturbation Theorem. Canadian Mathematical Bulletin, 51, 348-358. http://dx.doi.org/10.4153/CMB-2008-035-3

has been cited by the following article:

• TITLE: Banach Λ-Frames for Operator Spaces

  AUTHORS: Mukesh Singh, Renu Chugh

  KEYWORDS: Frames, Banach Frames, Reconstruction Property, Perturbation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.8, August 15, 2014

  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.