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研究生： 李豐昌
Lee, Feng-Chang
論文名稱： 非正規矩陣之次正規性
On Subnormality For Non-normal matrices.
指導教授： 郭堃煌
Kuo, Kung-Hwang
學位類別： 碩士
Master
系所名稱： 理學院 - 數學系應用數學碩博士班
Department of Mathematics
論文出版年： 2005
畢業學年度： 93
語文別： 英文
論文頁數： 43
中文關鍵詞： 次正規
外文關鍵詞： subnormal
相關次數： 點閱：90  下載：2 
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    • 　　在這篇論文，我們討論有關於非正規矩陣之次正規性。且發現到W(N)和W(A)之間的一些幾何特徵。

    　In this thesis, we study the extension properties of a bounded linear transformation from a subspace of a Hilbert space into the whole space (e.g., which has a normal extension N). Given an nxn non-normal matrix A and a kxn matrix B, we obtain some characters of subnormality for the submatrix M(A,B) by means of the geometric behavior of W(N) and W(A).

    1 INTRODUCTION 1 1.1 Suboperators………………………………………………………….1 2 SUBNOMALITY OF 2×2 MATRICES AND SPECIAL CASES 4 2.1 Preliminary Results…………………………………………………..5 2.2 Reducing the Rows of Submatrices………………………………….7 2.3 Subnormality for Special Cases of M(A,B)…………………………9 3 SUBNORMALITY FOR NON-NORMAL CASES 11 3.1 Non-Normal Matrices……………………………………………….11 4 NUMERICAL RANGE 15 4.1 Numerical Range of N and A……………………………………15

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    2005-07-13公開
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