2-LOCAL ISOMETRIES OF SOME NEST ALGEBRAS

被引：0

作者：

Yu, Bo ^{[1
]}

Li, Jiankui ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Shanghai 200237, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2023年

基金：

中国国家自然科学基金;

关键词：

nest algebra; isometry; 2-local isometry; AUTOMORPHISMS;

D O I：

10.1017/S000497272300117X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：367 / 376

页数：10

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