%0 Journal Article %T Some Results of Frames in Krein Spaces %J Journal of Mahani Mathematical Research %I Shahid Bahonar University of Kerman %Z 2251-7952 %A Alijani, Azadeh %A Mahmodi, Mansoureh %D 2021 %\ 05/01/2021 %V 10 %N 1 %P 53-68 %! Some Results of Frames in Krein Spaces %K Approximately dual frames %K Frames %K Krein Spaces %K Operator dual frames %R 10.22103/jmmrc.2021.17086.1131 %X 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. %U https://jmmrc.uk.ac.ir/article_2894_2388078b787ad0d8adc93acb1b88ea9d.pdf