Eigenvalues of Generalized Shift Operators Over $\ell ^p(\tau )$ Spaces

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-06-24 DOI:10.1007/s40995-024-01631-x

Mahin Hajiabootorabi, Mohammad Reza Mardanbeigi

引用次数: 0

Abstract

In this note for $p\in [1,+\infty )$, nonzero cardinal number $\tau $, and one-to-one self-map $\varphi :\tau \rightarrow \tau $ , we compute all possible eigenvalues of generalized shift operator $\sigma _{\varphi }\upharpoonright _{\ell ^p(\tau )}:\ell ^p(\tau )\rightarrow \ell ^p(\tau )$.

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$$ell ^p(\tau)$$空间上广义移位算子的特征值

在本注释中，对于 $p\in [1,+\infty )$, 非零心数 $\tau $, 和一对一自映射 $\varphi ：$，我们计算广义移位算子 $\sigma _{varphi }\upharpoonright _{ell ^p(\tau )}:\ell ^p(\tau )\rightarrow\ell ^p(\tau )$ 的所有可能的特征值。

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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences

Eigenvalues of Generalized Shift Operators Over \(\ell ^p(\tau )\) Spaces

Abstract