Searcharxiv⌕ Search

arXiv subjects

Tayebe Lal Shateri

Publications and source records attributed to Tayebe Lal Shateri.

7 recordsLinked to original sources
arXiv2026

Infinite Matrix Operators and $E$-Frames in Hilbert Spaces

The concept of an $E$-frame, recently introduced in frame theory, is obtained by applying an infinite invertible complex matrix to a sequence of elements of a Hilbert space $\mathcal{H}$. Here, $E$ is considered as a matrix mapping on the sequence space $\bigoplus_{n=1}^{\infty}\mathcal{H}$. A natural question is to determine the conditions on a sequence $Ψ=\{ψ_k\}_{k=1}^{\infty}$ and a matrix $E$ under which $EΨ$ becomes a frame. In this paper, we show that if $E$ acts surjectively on $\bigoplus_{n=1}^{\infty}\mathcal{H}$, then every ordinary frame is an $E$-frame.

math.FA↗
arXiv2025

E-frames multipliers

$E$-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.

math.FA↗
arXiv2023

On perturbation of continuous frames in Hilbert C*-modules

In the present paper, we examine the perturbation of continuous frames and Riesz-type frames in Hilbert $C^*$-modules. We extend the Casazza-Christensen general perturbation theorem for Hilbert space frames to continuous frames in Hilbert $C^*$-modules. We obtain a necessary condition under which the perturbation of a Riesz-type frame of Hilbert $C^*$-modules remains to be a Riesz-type frame. Also, we examine the effect of duality on the perturbation of continuous frames in Hilbert $C^*$-modules, and we prove if the operator frame of a continuous frame $F$ is near to the combination of the synthesis operator of a continuous Bessel mapping $G$ and the analysis operator of $F$, then $G$ is a continuous frame.

math.FA↗
arXiv2023

Exact Continuous frames in Hilbert C*-modules

In the present paper, we investigate some properties of duals of continuous frames in Hilbert C*-modules. In particular, we give requirements so that by removing some elements of a continuous frame, it does not remain a continuous frame and when the remaining set still remains a continuous frame.

math.FA↗
arXiv2023

Continuous frames in Hilbert C*-modules

In the present paper the notion of continuous frames is introduced and some results of these frames are proved. Next, we give the concept of duals of continuous frames in Hilbert C*-modules and investigate some properties of them.

math.FA↗
arXiv2022

Continuous Riesz bases in Hilbert C*-modules

The paper is devoted to continuous frames and Riesz bases in Hilbert C*-modules. we define a continuous Riesz basis for Hilbert C*-modules and give some results about them.

math.FA↗