Document Type : Research Paper
Vali-e-Asr University of Rafsanjan
Department of Mathematic, Vali-e-Asr University
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.