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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/02/0155-0164

    • Keywords

       

      Fusion frames; 𝑔-frames; Banach 𝑔-frames; perturbation.

    • Abstract

       

      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.

    • Author Affiliations

       

      Amir Khosravi1 Behrooz Khosravi2

      1. Faculty of Mathematical Sciences and Computer, Tarbiat Moallem University, 599 Ayatollah Taleghani Ave., Tehran 15618, Iran
      2. Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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