Overview

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 measure theory on finite-dimensional Euclidean spaces. The work should be suitable for beginners who want to get through the basic material as soon as possible and then do their own research immediately.

Full Product Details

Author:   Tsoy-wo Ma (Univ Of Western Australia, Australia)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.00cm , Height: 3.60cm , Length: 23.00cm
Weight:   1.025kg
ISBN:  

9789812380388

ISBN 10:   9812380388
Pages:   620
Publication Date:   14 June 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Metric Spaces; Complete, Compact and Connected Sets; Banach Spaces; Simplicial Complexes; Topological Fixed Points; Foundation of Functional Analysis; Natural Constructions; Complex Analysis; Differentiation in Banach Spaces; Polynomials and Higher Derivatives; Ordinary Differential Equations; Compact Linear Operators; Operators on Hilbert Spaces; Spectral Properties of Hilbert Spaces; Tensor Products; Complex Vector Lattices; Vector Measures on Semirings; Extensions of Positive Measures; Measurable Objects; Integrals of Upper Functions; Vector Integrals; Finite Products of Measures; Measures on Finite Dimensional Spaces; Indefinite Integrals; Differentiation of Measures; Spectral Measures; Locally Compact Spaces; Almost Periodic Functions on Groups; Group Representations; Saturated Closed Invariant Ideals; Mean Spaces.

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