Some Results of Frames in Krein Spaces

Document Type : Research Paper

Authors

1 Vali-e-Asr University of Rafsanjan

2 Department of Mathematic, Vali-e-Asr University

10.22103/jmmrc.2021.17086.1131

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