A Hilbert-space variant of Geršgorin's circle theorem

Pub Date : 2024-05-13 DOI:10.1002/mana.202300153
Marcus Carlsson, Olof Rubin
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Abstract

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

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格尔斯戈林圆定理的希尔伯特空间变体
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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