巴拿赫希耳伯特空间向量测度与群表示BANACH-HILBERT SPACES, VECTOR MEASURES AND GROUP REPRESENTATIONS
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作者： Tsoy-Wo Ma 著
出 版 社： Penguin
出版时间： 2002-12-1字数：版次： 1页数： 606印刷时间： 200/09/01开本：印次： 1纸张： 胶版纸I S B N ： 9789812380388包装： 精装内容简介
This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses The relation between group representations and almost periodic functions is presented The mean values offer an infinite-dimensional analogue of nasure theory on finite-dimensional Euclidean spaces This book is ideal for beginners who want to get through the basic material
as soon as possible and then do their own research immediately.
目录
Preface
Introduction
Chapter 1 Metric Spaces
Chapter 2 Complete,Compact and Connected Sets
Chapter 3 Banach Spaces
Chapter 4 Simplicial Complexes
Chapter 5 Topological Fixed Points
Chapter 6 Foundation of Functional Analysis
Chapter 7 Natural Constructions
Chapter 8 Complex Analysis
Chapter 9 Differetiation in Banach Spaces
Chapter 10 Polynomials and Higher Derivatives
Chapter 11 Ordinary Differdntial Equaitons
Chapter 12 Compact Linear Operators
Chapter 13 Operators on Hilbert Spaces
Chapter 14 Spectral Properties of Hilbert Spaces
Chapter 15 Tensor Products
Chapter 16 Complex Vector Lattices
Chapter 17 Vector Measres on Semirings
Chapter 18 Extensions of Positive Measures
Chapter 19 Measurable Objects
Chapter 20 Integrals of Upper Functions
Chapter 21 Vector Intgrals
Chapter 22 Finite Prosucts of Measures
Chapter 23 Measures on Finite Dimensional Spaces
Chapter 24 Indefinite Integrals
Chapter 25 Differentiation of Measures
Chapter 26 Spectral Measures
Chapter 27 Locally Compact Spaces
Chapter 28 Almost Periodic Functions on Groups
Chapter 29 Group Representations
Chapter 30 Saturated Closde Invariant Ideals
Chapter 31 Mean Spaces
References
Index
