Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series, Series Number 13)

Giles, J. R.

ISBN 10: 0521653754 / ISBN 13: 9780521653756

Published by Cambridge University Press, 2000

About this Item

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Bibliographic Details

• Title: Introduction to the Analysis of Normed Linear Spaces (Australian Mathematical Society Lecture Series, Series Number 13)
• Publisher: Cambridge University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0521653754
• ISBN 13: 9780521653756
• Binding: Soft cover
• Condition: good

About this title

Synopsis

This text is ideal for a basic course in functional analysis for senior undergraduate and beginning postgraduate students. John Giles provides insight into basic abstract analysis, which is now the contextual language of much modern mathematics. Although it is assumed that the student has familiarity with elementary real and complex analysis, linear algebra, and the analysis of metric spaces, the book does not assume a knowledge of integration theory or general topology. Its central theme concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. Giles illustrates the general theory with a great variety of example spaces.

Book Description

This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.