This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.

This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students.
Reviews
'... the text is up-to-date and detailed in exposition, and is large enough in material covered for different courses to be constructed from it ...'. Australian Mathematical Society Gazette



Book Information
ISBN 9780521653756
Author J. R. Giles
Format Paperback
Page Count 296
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 440g
Dimensions(mm) 229mm * 152mm * 17mm