Fusion Frames and 𝐺-Frames in Banach Spaces

Proceedings Mathematical Sciences

Amir Khosravi²  Behrooz Khosravi¹ 

[1] Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), , Hafez Ave., Tehran , Iran$$;Faculty of Mathematical Sciences and Computer, Tarbiat Moallem University, Ayatollah Taleghani Ave., Tehran , Iran$$

关键词: Fusion frames;    𝑔-frames;    Banach 𝑔-frames;    perturbation.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Fusion frames and 𝑔-frames in Hilbert spaces are generalizations of frames, and frames were extended to Banach spaces. In this article we introduce fusion frames, 𝑔-frames, Banach 𝑔-frames in Banach spaces and we show that they share many useful properties with their corresponding notions in Hilbert spaces. We also show that 𝑔-frames, fusion frames and Banach 𝑔-frames are stable under small perturbations and invertible operators.

【 授权许可】

Unknown