Some Results of Frames in Krein Spaces

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords


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