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  3. Introduction to the Analysis of Normed Linear Spaces
  • Cited by 7
  • J. R. Giles, University of Newcastle, New South Wales
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2000
Online ISBN:
9781139168465
DOI:
https://doi.org/10.1017/CBO9781139168465
Subjects:
Mathematics (general), Mathematics, Abstract Analysis
Series:
Australian Mathematical Society Lecture Series (13)
Information

Book description

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.

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 …’.

Source: Australian Mathematical Society Gazette

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