C[*]-環上の完全有界写像と正値線形写像について COMPLETELY BOUNDED MAPS AND POSITIVE LINEAR MAPS BETWEEN C^*-ALGEBRAS
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Bibliographic Information
- Title
-
C[*]-環上の完全有界写像と正値線形写像について
- Other Title
-
COMPLETELY BOUNDED MAPS AND POSITIVE LINEAR MAPS BETWEEN C^*-ALGEBRAS
- Author
-
大坂, 博幸
- Author(Another name)
-
オオサカ, ヒロユキ
- University
-
東京都立大学
- Types of degree
-
理学博士
- Grant ID
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甲第279号
- Degree year
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1992-03-25
Note and Description
博士論文
東京都立大学, 1992-03-25, 理学博士, 甲第279号
Table of Contents
- CONTENTS / (0005.jp2)
- Introduction / p1 (0006.jp2)
- Chapter I.Completely bounded maps / p6 (0011.jp2)
- I.1.Preliminaries and Notations / p6 (0011.jp2)
- I.2.Completely bounded maps between the preduals of von Neumann algebras / p9 (0014.jp2)
- I.3.Completely bounded multilinear functionals on C﹡-algebras / p13 (0018.jp2)
- I.4.The Haagerup tensor product / p20 (0025.jp2)
- Chapter II.Positive projections / p22 (0027.jp2)
- II.1.Preliminaries / p22 (0027.jp2)
- II.2.Positive projections on general C﹡-algebras / p25 (0030.jp2)
- II.3.Positive projections on matrix algerbas / p30 (0035.jp2)
- II.4.Applications / p33 (0038.jp2)
- Chapter III.Positive linear maps in matrix algebras / p38 (0043.jp2)
- III.1.A general view on P(Mn) / p38 (0043.jp2)
- III.2.Extension maps of Choi's map / p40 (0045.jp2)
- III.3.Atomic maps / p48 (0053.jp2)
- III.4.A class of extremal positive maps in M₃(ℂ) / p55 (0060.jp2)
- References / p65 (0070.jp2)