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研究生: 陳淑華
Chen, Shu-Hua
論文名稱: The Set of Periods of Linear Transformations
The Set of Periods of Linear Transformations
指導教授: 李華介
Li, Hua-Chieh
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2016
畢業學年度: 104
語文別: 英文
論文頁數: 27
中文關鍵詞: periodlinear operator
英文關鍵詞: period, linear operator
DOI URL: https://doi.org/10.6345/NTNU202205162
論文種類: 學術論文
相關次數: 點閱:147下載:9
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  • 無中文摘要

    Periodic points and their properties had been widely discussed. We discuss the periodic
    points of linear operators, and concentrate on the period number between periodic points.

    1 Introduction 2 2 Preliminaries 7 2.1 Least common multiple . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Union of proper subspaces . . . . . . . . . . . . . . . . . . . . . 9 2.3 Periodic points . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3 Main results 12 3.1 Relation between primitive periods of a linear operator . . . . . 12 3.2 The set of periods of linear transformations . . . . . . . . . . . . 17 3.3 Periodic points of a given period . . . . . . . . . . . . . . . . . . 23

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