Banach Λ-Frames for Operator Spaces  

作　　者：Mukesh Singh Renu Chugh 

机构地区：[1]Department of Mathematics, Goverment College, Bahadurgarh, India [2]Department of Mathematics, Maharishi Dayanand University, Rohtak, India

出　　处：《Advances in Pure Mathematics》2014年第8期373-380,共8页理论数学进展（英文）

摘　　要：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.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.

关 键 词：FRAMES BANACH FRAMES RECONSTRUCTION PROPERTY PERTURBATION 

分 类 号：O1[理学—数学]