作用素環における微分と楕円型作用素 DERIVATＩONS and ELLIPTIC OPERATORS in OPERATOR ALGEBRAS
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著者
書誌事項
- タイトル
-
作用素環における微分と楕円型作用素
- タイトル別名
-
DERIVATＩONS and ELLIPTIC OPERATORS in OPERATOR ALGEBRAS
- 著者名
-
中里, 博
- 著者別名
-
ナカザト, ヒロシ
- 学位授与大学
-
東京都立大学
- 取得学位
-
理学博士
- 学位授与番号
-
乙第770号
- 学位授与年月日
-
1991-11-21
注記・抄録
博士論文
東京都立大学, 1991-11-21, 理学博士, 乙第770号
目次
- TABLE OF CONTENTS / (0010.jp2)
- Introduction / p1 (0004.jp2)
- Chapter I.Indefinite Inner Product Spaces. / p1 (0012.jp2)
- §1.Pontrjagin spaces and their subspaces. / p2 (0013.jp2)
- §2.Quasi-nilpotent J-symmetric operators on Pontrjagin spaces. / p4 (0015.jp2)
- Chapter II.Derivations in the Algebra of Compact Operators. / p14 (0025.jp2)
- §1.Introduction and Main Results. / p15 (0026.jp2)
- §2.⋆-Banach algebra { D([数式]) , ||| ||| }and its representation. / p18 (0029.jp2)
- §3.Proof of Theorem 2.1.2. / p29 (0040.jp2)
- Chapter III.Invariant Dissipative Operators on Locally Compact Groups. / p33 (0044.jp2)
- §1.Introduction and Main Results. / p34 (0045.jp2)
- §2.Deficiency spaces of invariant dissipative operators. / p40 (0051.jp2)
- §3.Non connected Lie groups whose Lie algebras are compact. / p46 (0057.jp2)
- §4.Reduction procedures. / p52 (0063.jp2)
- §5.Decomposition of locally compact groups. / p57 (0068.jp2)
- §6.Restriction of left invariant closed ⋆-derivations on locally compact groups. / p62 (0073.jp2)
- §7.Perturbation of elliptic differential operators. / p84 (0095.jp2)
- Chapter IV.Second Order Elliptic Differential Operators on Nilpotent Lie groups. / p91 (0102.jp2)
- §1.Introduction and Main Result. / p92 (0103.jp2)
- §2.Regular representations. / p98 (0109.jp2)
- §3.Strongly elliptic elements of [数式] / p104 (0115.jp2)
- §4.Step2 nilpotent Lie groups. / p115 (0126.jp2)
- §5.Nilpotent Lie groups G for which[G,[G,G]]≠{e}. / p127 (0138.jp2)