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The Banach frame for a Banach space X can reconstruct each vector in X by the pre-frame operator or thereconstruction operator. The Banach Λ-frame for operator spaces was introducedby Kaushik, Vashisht and Khattar Reconstruction Property and Frames in Banach Spaces, Palestine Journal of Mathematics, 31, 2014, 11-26. In this paper wegive necessary and sufficient conditions for the existence of the Banach Λ-frames.A Paley-Wiener type stability theorem for Λ-Banach frames is discussed.


Frames, Banach Frames, Reconstruction Property, Perturbation

Cite this paper

Singh, M. and Chugh, R. 2014 Banach Λ-Frames for Operator Spaces. Advances in Pure Mathematics, 4, 373-380. doi: 10.4236-apm.2014.48048.

Author: Mukesh Singh, Renu Chugh



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