位相線型空間
Author(s)
Bibliographic Information
位相線型空間
(ブルバキ数学原論 / ブルバキ [著], [第20-22])
東京図書, 1968.8-1970.12
- 1
- 2
- 要約
- Other Title
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Espaces vectoriels topologiques
- Title Transcription
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イソウ センケイ クウカン
Available at / 274 libraries
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Aichi University of Education Library図
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2の訳者: 小針晛宏, 清水達雄
文献あり
Description and Table of Contents
- Volume
-
1 ISBN 9784489002038
Table of Contents
- 第1章 付値体上の位相線型空間(位相線形空間;位相線形空間内の線型多様体;距離のつく位相線型空間)
- 第2章 凸集合と局所凸空間(半ノルム;凸集合;ハーン=バナハの定理(解析的表示);局所凸空間;凸集合の分離;弱位相;端点と端母線;複素局所凸空間)
- Volume
-
2 ISBN 9784489002045
Table of Contents
- 第3章 連続線型写像の空間(樽型空間;位相線型空間内の有界集合;連続線型写像の空間;亜連続双線型写像)
- 第4章 位相線型空間での双対性(弱位相;分離局所凸空間の双対;分離局所凸空間の双対の上の強位相;強連続性と弱連続性;バナハ空間の双対性)
- 第5章 ヒルベルト空間(基礎論)(先ヒルベルト空間、ヒルベルト空間;ヒルベルト空間での直交族)
- Volume
-
要約 ISBN 9784489002052
Table of Contents
- 位相線型空間、近傍、半ノルム、有界集合
- 線型および複線型写像
- 部分空間、商空間、積空間、直和
- 凸性
- 連続線型写像の空間
- 双対性
- 局所凸空間の基本型
by "BOOK database"