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arXiv · 2503.00756

E-frames multipliers

Hassan Hedayatirad·Tayebe Lal Shateri
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Abstract

$E$-frames are a new generalization for the concept of frames for $\mathcal{H}$, where $E$ is an infinite invertible complex matrix mapping on $\bigoplus_{n=1}^{\infty}\mathcal{H}$. This article is dedicated to investigating some notions related to $E$-Bessel sequences and $E$-multipliers. A Multiplier is an operator created by frame-like analysis, multiplication with a fixed sequence, called the symbol, and synthesis. In this article, we introduce the notion of $E$-multipliers, which generalizes multipliers for $E$-sequences and study their properties, including boundedness and invertibility.

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Hassan Hedayatirad, Tayebe Lal Shateri. 2025-03-02. E-frames multipliers. https://arxiv.org/abs/2503.00756

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