Banach Λ-Frames for Operator Spaces

• 作者: Mukesh Singh Renu Chugh
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: FRAMES BANACH FRAMES RECONSTRUCTION PROPERTY PERTURBATION
• 年，卷（期）: 2014,（8）
• 页码范围: 373-380
• 页数: 8页
• 分类号: O1

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.