1. 目前位置：
吳培元

吳培元 Wu, Pei Yuan

服務單位／Department：理學院 ／ 應用數學系

著作期間／Publish Period：1975-01-01 - 2014-10-15

著作統計／Statistics

Article（81）
Books（3）
Digital Courses（4）
Others（8）
Plan（22）
Proceedings Paper（7）
Thesis（24）

Article

序號
No.		 標題
Title		 著作日期
Date
1 Power partial isometry index and ascent of a finite matrix
 2014-10-15
2 Sums of orthogonal projections
 2014-07-15
3 Numerical Radii for Tensor Products of Operators
 2014-03-01
4 Zero-dilation index of a finite matrix
 2014-01-01
5 Structures and numerical ranges of power partial isometries
 2014-01-01
6 ZERO-DILATION INDICES OF KMS MATRICES 2014-01-01
7 NUMERICAL RANGES AND COMPRESSIONS OF S-n-MATRICES 2013-06-01
8 Higher-rank numerical ranges and Kippenhahn polynomials
 2013-04-01
9 Numerical ranges and Gersgorin discs
 2013-02-01
10 Diagonals and numerical ranges of weighted shift matrices
 2013-01-01
11 Noncircular elliptic discs as numerical ranges of nilpotent operators
 2012-01-01
12 Numerical ranges as circular discs
 2011-12-01
13 Numerical ranges of weighted shifts
 2011-09-15
14 Numerical ranges of weighted shift matrices
 2011-07-15
15 Crawford numbers of powers of a matrix
 2010-12-30
16 HIGHER-RANK NUMERICAL RANGES AND DILATIONS 2010-12-01
17 Unitary part of a contraction
 2010-06-15
18 Defect indices of powers of a contraction
 2010-06-01
19 Numerical Ranges of Radial Toeplitz Operators on Bergman Space
 2009-12-01
20 0.13-mu M CMOS Q-BAND LEVELED-LO SUBHARMONIC MIXER WITH INJECTION-LOCKED FREQUENCY-DIVIDER QUADRATURE GENERATOR
 2009-11-01
21 Q-Band pHEMT and mHEMT Subharmonic Gilbert Upconversion Mixers
 2009-06-01
22 Ka/Ku-Band pHEMT Gilbert Mixers With Polyphase and Coupled-Line Quadrature Generators
 2009-05-01
23 Inner functions of numerical contractions
 2009-04-15
24 Numerical ranges of nilpotent operators
 2008-08-01
25 Design of QoS and admission control for VoIP services over IEEE 802.11e WLANs
 2008-07-01
26 K-band CMOS sub-harmonic resistive mixer with a miniature Marchand balun on lossy silicon substrate
 2008-01-01
27 NUMERICAL RADIUS INEQUALITIES FOR SQUARE-ZERO AND IDEMPOTENT OPERATORS 2008-01-01
28 Fredholmness of linear combinations of two idempotents
 2007-12-01
29 Polar decompositions of C-0(N) contractions
 2006-12-01
30 Finite-rank perturbations of positive operators and isometries 2006-01-01
31 Anderson's theorem for compact operators
 2006-01-01
32 Numerical range of a normal compression II
 2004-10-01
33 Numerical range circumscribed by two polygons
 2004-05-01
34 Numerical range of a normal compression
 2004-05-01
35 Higher-dimensional numerical ranges of quadratic operators 2003-12-01
36 Finite Blaschke products of contractions
 2003-07-15
37 Condition for the numerical range to contain an elliptic disc
 2003-05-01
38 Direct sums of irreducible operators 2003-01-01
39 Numerical range of Aluthge transform of operator
 2002-12-15
40 The numerical range of a nonnegative matrix
 2002-07-15
41 Matricial ranges of quadratic operators 1999-09-01
42 Singular unitary dilations
 1999-02-01
43 Dilation to the unilateral shifts
 1998-09-01
44 Sums of strongly irreducible operators 1998-01-01
45 Band-diagonal operators
 1996-11-15
46 SUMS AND PRODUCTS OF CYCLIC OPERATORS
 1994-12-01
47 DIFFERENCE AND SIMILARITY MODELS OF 2 IDEMPOTENT OPERATORS
 1994-09-01
48 PRODUCTS OF DIAGONAL OPERATORS 1993-02-01
49 WHICH LINEAR TRANSFORMATIONS HAVE ISOMORPHIC HYPERINVARIANT SUBSPACE LATTICES
 1992-05-01
50 PRODUCTS OF UNIPOTENT MATRICES OF INDEX-2
 1991-04-01
51 SUMS OF SQUARE-ZERO OPERATORS 1991-01-01
52 SUMS OF IDEMPOTENT MATRICES
 1990-12-01
53 CONVEX COMBINATIONS OF PROJECTIONS
 1990-07-01
54 THE OPERATOR FACTORIZATION PROBLEMS
 1989-05-01
55 APPROXIMATION BY INVERTIBLE AND NONINVERTIBLE OPERATORS
 1989-03-01
56 FACTORIZATION OF MATRICES INTO PARTIAL ISOMETRIES
 1989-02-01
57 PRODUCTS OF NORMAL OPERATORS 1988-12-01
58 PRODUCTS OF POSITIVE SEMIDEFINITE MATRICES
 1988-12-01
59 TOWARD A CHARACTERIZATION OF REFLEXIVE CONTRACTIONS 1985-01-01
60 WHICH C.0 CONTRACTION IS QUASI-SIMILAR TO ITS JORDAN MODEL 1984-01-01
61 ON THE REFLEXIVITY OF C1 CONTRACTIONS AND WEAK CONTRACTIONS 1982-01-01
62 APPROXIMATE DECOMPOSITIONS OF CERTAIN CONTRACTIONS 1982-01-01
63 WHEN IS A CONTRACTION QUASI-SIMILAR TO AN ISOMETRY 1982-01-01
64 THE STRUCTURE OF QUASINORMAL OPERATORS AND THE DOUBLE COMMUTANT PROPERTY
 1982-01-01
65 C-11 CONTRACTIONS ARE REFLEXIVE .2.
 1981-01-01
66 C.0 CONTRACTIONS - CYCLIC VECTORS, COMMUTANTS AND JORDAN MODELS 1981-01-01
67 ON THE QUASI-SIMILARITY OF HYPONORMAL CONTRACTIONS 1981-01-01
68 ON THE REFLEXIVITY OF CO(N) CONTRACTIONS
 1980-01-01
69 ON CONTRACTIONS OF CLASS C1 1980-01-01
70 ON A CONJECTURE OF SZ-NAGY AND FOIAS 1980-01-01
71 C-11 CONTRACTIONS ARE REFLEXIVE
 1979-01-01
72 HYPERINVARIANT SUBSPACES OF C-11 CONTRACTIONS
 1979-01-01
73 HYPERINVARIANT SUBSPACES OF WEAK CONTRACTIONS 1979-01-01
74 CONDITIONS FOR COMPLETELY NON-UNITARY CONTRACTIONS TO BE SPECTRAL
 1979-01-01
75 HYPERINVARIANT SUBSPACE LATTICE OF A CONTRACTION OF CLASS C.0
 1978-01-01
76 QUASI-SIMILARITY OF WEAK CONTRACTIONS
 1978-01-01
77 HYPERINVARIANT SUBSPACES OF DIRECT SUM OF CERTAIN CONTRACTIONS 1978-01-01
78 HYPERINVARIANT SUBSPACES OF C-11 CONTRACTIONS, .2. 1978-01-01
79 CONTRACTIONS SATISFYING ALG T = [T]'
 1977-01-01
80 SPLITTING OF ALPHA (T1 AND T2) AND RELATED QUESTIONS 1977-01-01
81 COMMUTANTS OF CO (N) CONTRACTIONS 1976-01-01

Books

序號
No.		 標題
Title		 著作日期
Date
1 教育部學術獎推薦書 : 吳培元教授 1989
2 教育部學術獎 : 吳培元教授代表著作(學術期刊論文24篇) 1989
3 教育部學術獎 : 吳培元教授參考著作(學術期刊論文22篇) 1989

Digital Courses

序號
No.		 標題
Title		 著作日期
Date
1 Matrix Analysis
 2011
2 實變函數論（一）
 2010
3 實變函數論（二）
 2010
4 複變函數論
 2007

Others

序號
No.		 標題
Title		 著作日期
Date
1 Numerical range and Poncelet property 2003-06-01
2 ALTERNATING MATRICES
 1993-02-01
3 AN LP-NORM INEQUALITY 1983-01-01
4 CONTRACTIONS SATISFYING ALG T=(T)' - PRELIMINARY-REPORT 1976-01-01
5 COMMUTANTS OF CO CONTRACTIONS - PRELIMINARY-REPORT 1976-01-01
6 QUASI-SIMILARITY OF WEAK CONTRACTIONS 1976-01-01
7 COMMUTANTS OF CO(N) CONTRACTIONS - PRELIMINARY REPORT 1975-01-01
8 SPLITTING OF ALPHA(T1 AND T2) AND RELATED QUESTIONS 1975-01-01

Plan

序號
No.		 標題
Title		 著作日期
Date
1 KMS矩陣的數值域 2013
2 張量積的數值域
 2012
3 矩陣和算子數值域的研究
 2011
4 矩陣和算子數值域的研究
 2010
5 有界算子數值域的研究
 2009
6 有界算子數值域的研究 2008
7 有界算子數值域的研究 2007
8 有限矩陣及有界算子數值域之研究(III) 2006
9 有限矩陣及有界算子數值域之研究(II)
 2005
10 有限矩陣及有界算子數值域之研究(I)
 2004
11 算子及矩陣數值域之研究(III)
 2003
12 算子及矩陣數值域之研究(II)
 2002
13 算子及矩陣數值域之研究(I) 2001
14 不可約算子直和之研究
 2000
15 正交投影和之研究
 2000
16 一類收縮算子數值域之研究 1999
17 收縮算子膨脹問題之研究 1998
18 二次型算子之數值域 1997
19 數值域與么正膨漲關係之研究 1996
20 帶狀對角算子研究 1995
21 Jones′指標理論與控制理論 1995
22 兩個正規算子乘積之研究 1994

Proceedings Paper

序號
No.		 標題
Title		 著作日期
Date
1 15 GHz Wideband CMOS Gilbert Up-Converter With Stacked Spiral-CPS Phase-Inverter Rat-Race Coupler at RF Port 2013-01-01
2 The Optimal Re-sampling Strategy for a Risk Assessment Model 2012-01-01
3 Numerical radius inequality for C(0) contractions 2009-03-01
4 40-GHz CMOS Subharmonic Gilbert Mixer With Quadrature Injection-Locked Frequency Divider 2008-01-01
5 Line segments and elliptic arcs on the boundary of a numerical range
 2008-01-01
6 Numerical ranges of companion matrices
 2007-03-01
7 Dilation to unilateral shifts 2000-01-01

Thesis

序號
No.		 標題
Title		 著作日期
Date
1 某些矩陣的高-吳數
 2013
2 多類別不平衡資料之最適重新取樣策略 2012
3 非對稱場型光源的閃光燈照明系統設計 2011
4 算子和矩陣的數值域研究
 2010
5 檢視台灣電視產業模仿同形現象－以綜藝談話性節目為例 2010
6 友矩陣和規範算子的數值域
 2006
7 關於矩陣么正不變量之研究
 2004
8 平方等於零和平方等於自己的矩陣在數值半徑方面的不等式關係
 2004
9 交換子與交換矩陣 2002
10 相似於不可約的算子 1998
11 S(□)的數值域 1997
12 冪等算子和之研究 1996
13 二次型算子: 數值域 相似與超不變子空間格子 1992
14 分解算子為二次型之算子 1990
15 準正規算子: 相似, 準相似和緊緻微擾 1990
16 投影算子之乘積及其相關問題 1990
17 準正規算子: 相似, 準相似和緊緻微擾 1990
18 投影算子之乘積及其相關問題 1989
19 投影算子之乘積及其相關問題 1989
20 投影算子之乘積及其相關問題 1989
21 三個對合矩陣的乘積 1986
22 SCHUR'S 定理與算子之正規性 1985
23 凸包問題之研討 1985
24 Schur's 定理與算子之正規性 1985
理學院