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Banach Λ-Frames for Operator Spaces
Department of Mathematics, Goverment College, Bahadurgarh, India
Department of Mathematics, Maharishi Dayanand University, Rohtak, India
- 1 Department of Mathematics, Goverment College, Bahadurgarh, India
- 2 Department of Mathematics, Maharishi Dayanand University, Rohtak, India
Advances in Pure Mathematics·Volume 04 (2014)·Pages 373–380·Published 15 August 2014·DOI10.4236/apm.2014.48048
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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.
KeywordsFramesBanach FramesReconstruction PropertyPerturbation
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