一些巢代数的 2 局部等距

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2023-12-18 DOI:10.1017/s000497272300117x

BO YU, JIANKUI LI

引用次数: 0

摘要

让 H 是一个复杂的可分离的希尔伯特空间，其中有 $\dim H \geq 2$。让 $mathcal {N}$ 是 H 上的一个巢，对于任意 $E \neq H, E \in \mathcal {N}$ 来说，$E_+ \neq E$ 是这样的。我们证明 $\operatorname {Alg}\mathcal {N}$ 的每一个 2 局部等势都是投射线性等势。

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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2-LOCAL ISOMETRIES OF SOME NEST ALGEBRAS

Let H be a complex separable Hilbert space with $\dim H \geq 2$. Let $\mathcal {N}$ be a nest on H such that $E_+ \neq E$ for any $E \neq H, E \in \mathcal {N}$. We prove that every 2-local isometry of $\operatorname {Alg}\mathcal {N}$ is a surjective linear isometry.

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society