关于有限谱的等距

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2021-11-15 DOI:10.7900/jot.2020apr11.2270

F. Botelho, D. Ilišević

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引用次数: 3

摘要

本文研究了复Banach空间上有限谱线性等距的特征值反问题。我们建立了一模复数的有限集合是线性等距谱的必要条件。特别地，我们研究了Banach空间X上的周期线性等距，其性质如下:如果T:X→X是两点谱{1，λ}的线性等距，则λ= - 1或T的本征投影是厄米的。

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On isometries with finite spectrum

In this paper we investigate inverse eigenvalue problems for finite spectrum linear isometries on complex Banach spaces. We establish necessary conditions on a finite set of modulus one complex numbers to be the spectrum of a linear isometry. In particular, we study periodic linear isometries on the large class of Banach spaces X with the following property: if T:X→X is a linear isometry with two-point spectrum {1,λ} then λ=−1 or the eigenprojections of T are Hermitian.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.