贝塞尔乘法器谱半径的估计及其结果

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2023-06-17 DOI:10.33205/cma.1323956

R. Corso

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引用次数: 1

摘要

贝塞尔乘子是由希尔伯特空间和复序列的两个贝塞尔元素序列定义的算子，并且具有帧乘子作为特殊情况。本文给出了包含两个序列的交叉Gram算子的贝塞尔乘法器谱半径的估计。作为一个结果，它是可能个性化的一些区域的复平面，其中的频谱乘法器的双帧包含。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Estimate of the spectral radii of Bessel multipliers and consequences

Bessel multipliers are operators defined from two Bessel sequences of elements of a Hilbert space and a complex sequence, and have frame multipliers as particular cases. In this paper an estimate of the spectral radius of a Bessel multiplier is provided involving the cross Gram operator of the two sequences. As an upshot, it is possible to individuate some regions of the complex plane where the spectrum of a multiplier of dual frames is contained.

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks