《Functional Operators Volume I-II》
作者 | John Von Neumann 编者 |
---|---|
出版 | Princeton University Press |
参考页数 | 372 |
出版时间 | 1950(求助前请核对) 目录预览 |
ISBN号 | 无 — 求助条款 |
PDF编号 | 818131338(仅供预览,未存储实际文件) |
求助格式 | 扫描PDF(若分多册发行,每次仅能受理1册) |

CHAPTERS Ⅰ.Point Set Theory3
CHAPTERS Ⅱ.Outer Measure12
CHAPTERS Ⅲ.Measure15
CHAPTERS Ⅳ.Inner Measure24
CHAPTERS Ⅴ.Invariance of Measure under Transformation27
CHAPTERS Ⅵ.Covering Theorems32
CHAPTERS Ⅶ.Non-measurable Sets38
CHAPTERS Ⅷ.Lebesgue Intgeral42
CHAPTERS Ⅸ.Monotonic Functions63
CHAPTERS Ⅹ.General Measure Functions and Outer Measures83
1.Elementary Properties of Measure Funotions83
2.Outer Measure and Inner Measure98
3.General Extension Theorems111
4.Measure in Product Spaces122
5.Examples of Measure Funotions148
CHAPTERS Ⅺ.Properties of the General Integral174
1.Bounded Variation and the Extension of Finite Measure Funotions174
2.Absolute Continuity and the Intgeral197
3.Elementary Properties of the Integral222
4.The Fubini Theorem and Related Theorems245
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