格尔斯戈林圆定理的希尔伯特空间变体

IF 0.8 3区数学 Q2 MATHEMATICS Mathematische Nachrichten Pub Date : 2024-05-13 DOI:10.1002/mana.202300153

Marcus Carlsson, Olof Rubin

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引用次数: 0

摘要

我们提供了格什高林圆定理的一个变体，在这个变体中，"-估计值 "被换成了"-估计值"，更适合于无穷维希尔伯特空间环境。

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A Hilbert-space variant of Geršgorin's circle theorem

We provide a variant of Geršgorin's circle theorem, where the $ℓ^{1}$ -estimates are swapped for $ℓ^{2}$ -estimates, more suitable for the infinite-dimensional Hilbert space setting.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index

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