On the joint spectrum and joint numerical range of Hilbert space operators ヒルベルト空間作用素の合同スペクトルと合同数域について
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著者
書誌事項
- タイトル
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On the joint spectrum and joint numerical range of Hilbert space operators
- タイトル別名
-
ヒルベルト空間作用素の合同スペクトルと合同数域について
- 著者名
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高口, 真
- 著者別名
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タカグチ, マコト
- 学位授与大学
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北海道大学
- 取得学位
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理学博士
- 学位授与番号
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乙第4094号
- 学位授与年月日
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1992-06-30
注記・抄録
博士論文
目次
- Contents. / (0003.jp2)
- 1.Introduction / p1 (0004.jp2)
- 2.Boundary points of joint numerical ranges / p6 (0009.jp2)
- 2.1.Conical points of joint numerical range / p6 (0009.jp2)
- 2.2.Bare points of the joint numerical range for jointly transloid operator-family / p8 (0011.jp2)
- 2-3.Extreme points of the joint numerical range of doubly commuting hyponormal operators / p12 (0015.jp2)
- 3.Taylor's joint spectrum / p17 (0020.jp2)
- 3.1.Definition and basic facts / p17 (0020.jp2)
- 3-2.Boundary of Taylor's joint spectrum of two commuting operators / p20 (0023.jp2)
- 3-3.Doubly commuting tuple of hyponormal operators / p22 (0025.jp2)
- 4.Some classes of tuples of operators / p27 (0030.jp2)
- 4-1.Inclusion relations for classes of operator-tuples / p28 (0031.jp2)
- 4.2.Topological properties for classes of operator-tuples / p32 (0035.jp2)
- 151.Commuting Dilations of Self-adjoint Operators / p696 (0047.jp2)
- COMMUTING PROJECTIONS WITH ASSIGNED RANGES / p368 (0053.jp2)
- ON JOINT NUMERICAL RANGES / p20 (0062.jp2)
- JOINT SPECTRA OF MATRICES / p15 (0070.jp2)
- BOUNDARY OF JOINT NUMERICAL RANGE / p69 (0077.jp2)
- JOINT NUMERICAL RANGE AND NORMAL JOINT DILATION / p72 (0082.jp2)
- THE JOINT NUMERICAL RANGE AND THE JOINT ESSENTIAL NUMERICAL RANGE / p6 (0088.jp2)
- JOINT NORMALOID OPERATOR-FAMILY / p50 (0093.jp2)
- ON THE JOINT WEYL SPFCTRUM / p47 (0105.jp2)
- Identity of Taylor's joint spectrum and Dash's joint spectrum / (0110.jp2)
- ON THE JOINT SPECTRUM OF COMMUTING NORMAL OPERATORS / p1 (0117.jp2)
- Note on the joint maximal numerical range and center of mass for operator-family / p87 (0123.jp2)
- Joint Maximal Numerical Range of Tensor Products / p93 (0130.jp2)
- CENTERS OF MASS FOR OPERATOR-FAMILIES / p1 (0134.jp2)