ON OPERATORS WHICH ARE POWER SIMILAR TO HYPONORMAL OPERATORS

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2015-07-01 DOI:10.18910/57659

Sungeun Jung, E. Ko, Mee-Jung Lee

引用次数: 1

Abstract

In this paper, we study power similarity of operators. In particular, we show that if $T \in \mathit{PS}(H)$ (defined below) for some hyponormal operator $H$, then $T$ is subscalar. From this result, we obtain that such an operator with rich spectrum has a nontrivial invariant subspace. Moreover, we consider invariant and hyperinvariant subspaces for $T \in \mathit{PS}(H)$.

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幂类似于次正规算子的算子

本文研究了算子的幂相似度。特别地，我们证明了如果$T \ In \mathit{PS}(H)$(定义见下)对于一些次正规算子$H$，则$T$是子标量。由此得到了这样一个富谱算子具有非平凡不变子空间。此外，我们考虑$T \in \mathit{PS}(H)$的不变子空间和超不变子空间。

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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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.