Some Results of Frames in Krein Spaces

Document Type : Research Paper


Department of Mathematic, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran


In recently years, frames in Krein spaces had been considered. The paper presents a family of generators for a Krein space by their frames. These generators are dual frames and operator dual frames corresponding to a given frame in a Krein space. We characterize all generalized dual frames of a primary frame. Also, approximately dual frames in a Krein space are introduced and, we study the relation between approximately dual frames and operator duals in a Krein space. Finally, perturbation of frames in this space is considered.


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Volume 10, Issue 1
May 2021
Pages 53-68
  • Receive Date: 22 January 2021
  • Revise Date: 11 April 2021
  • Accept Date: 20 April 2021
  • First Publish Date: 01 May 2021