E-g-frames

2024/01/08 by H. Hedayatirad, Hedayatirad, H., T. L. Shateri +1
Mathematics · #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2401.03678

Abstract

In the present paper, we introduce the notion of E-g-frames for a separable Hilbert spaces \mathcal H, where E is an invertible infinite matrix mapping on the Hilbert space \mathop⊕_n=1^∞\mathcal H_n. We study some prperties of E-g-frames. First, we give a result concerning perturbation of E-g-frames and then use it to construct E-g-frames in separable Hilbert spaces.

Related

• On E-frames in Hilbert spaces
• Continuous K-G-Frame in Hilbert Spaces
• Controlled E-frames in Hilbert spaces
• Tight projections of frames on infinite dimensional Hilbert spaces
• Properties of bounded representations for G-frames