Banach Λ-Frames for Operator Spaces

作     者：Mukesh Singh Renu Chugh 

作者机构：Department of Mathematics Goverment College Bahadurgarh India Department of Mathematics Maharishi Dayanand University Rohtak India 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2014年第4卷第8期

页      面：373-380页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Frames Banach Frames Reconstruction Property Perturbation 

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.