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Proceedings - Mathematical Sciences

, Volume 121, Issue 2, pp 155–164 | Cite as

Fusion frames and G-frames in Banach spaces

  • AMIR KHOSRAVI
  • BEHROOZ KHOSRAVI
Article

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.

Keywords.

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

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Copyright information

© Indian Academy of Sciences 2011

Authors and Affiliations

  1. 1.Faculty of Mathematical Sciences and ComputerTarbiat Moallem UniversityTehranIran
  2. 2.Department of Pure Mathematics, Faculty of Mathematics and Computer ScienceAmirkabir University of Technology (Tehran Polytechnic)TehranIran

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