Work

On the Properties of Frames in 2-Hilbert Spaces

Year: 2025

Type: article

Abstract: 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.

Source: Asian Research Journal of Mathematics

DOI: 10.9734/arjom/2025/v21i4916

Author: G.Upender Reddy

Institution: Mahatma Gandhi University, Nalgonda

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409432280

FWCI: 3.798

Cites:

Cited by: 2

Related to: 10