On the Properties of Frames in 2-Hilbert Spaces
2-frames in 2-Hilbert spaces are studied, and several related results are presented. A definition of a frame associated with a fixed element in 2-Hilbert spaces is introduced and illustrated through examples. Various properties of the corresponding frame operator are investigated. Furthermore, several results from the theory of frames in Hilbert spaces are extended to the setting of 2-Hilbert spaces.
Authors
- G. Upender Reddy (ORCID: https://orcid.org/0000-0002-8460-0489)
Publication Details
- Journal
- Asian Research Journal of Mathematics
- Published
- 2025-04-14
- DOI
- https://doi.org/10.9734/arjom/2025/v21i4916
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00