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SOME RESULTS OF FRAMES IN KREIN SPACES.
- Source :
- Journal of Mahani Mathematical Research Center; Winter/Spring2021, Vol. 10 Issue 1, p53-67, 15p
- Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- KREIN spaces
APPROXIMATION theory
PERTURBATION theory
GENERALIZATION
HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 22517952
- Volume :
- 10
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Mahani Mathematical Research Center
- Publication Type :
- Academic Journal
- Accession number :
- 152440405
- Full Text :
- https://doi.org/10.22103/jmmrc.2021.17086.1131