### 博碩士論文 102221016 詳細資訊

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(NUMERICAL RANGES AND NUMERICAL RADII OF PRODUCTS OF 3×3 MATRICES)

 ★ 橢圓形數值域之四階方陣 ★ 數值域邊界上之線段 ★ 正規壓縮算子與正規延拓算子 ★ 加權排列矩陣及加權位移矩陣之數值域 ★ 可分解友矩陣之數值域 ★ 可分解友矩陣之研究 ★ 關於巴氏空間上連續函數的近乎收斂性 ★ 三角不等式與Jensen不等式之精化 ★ 缺陷指數為1的矩陣之研究 ★ A-Statistical Convergence of Korovkin Type Approximation ★ I-Convergence of Korovkin Type Approximation Theorems for Unbounded Functions ★ 四階方陣的高秩數值域 ★ 位移算子其有限維壓縮算子的反矩陣 ★ 2×2方塊矩陣的數值域 ★ 加權位移矩陣的探討與廣義三角不等式的優化 ★ 喬登方塊和矩陣的張量積之數值域半徑

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denotes the usual operator norm of a matrix.

★ 數值域半徑
★ 張量積
★ 壓縮矩陣

★ tensor product
★ contraction

1. Introduction 1
2. Preliminaries 4
2.1. Basic properties of numerical range and numerical radius 4
2.2. The Kippenhahn curve and polynomial 7
2.3. Contractions and Sn-matrices 10
2.4. Tensor product 12
3. Numerical ranges of products of 3  3 matrices 14
4. Numerical radii of powers of 3  3 matrices 24
5. Tensor products of 3  3 matrices 34
References 36

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