- 296 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Introduction to the Analysis of Normed Linear Spaces
About this book
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.
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Information
Table of contents
- Cover
- Half-title
- Series-title
- Title
- Copyright
- Dedication
- Contents
- Preface
- Normed Linear Space Structure and Examples
- Spaces of Continuous Linear Mappings
- The Existence of Continuous Linear Funcitonals
- The Fundamental Mapping Theorems for Banach Spaces
- Types of Continuous Linear Mappings
- Spectral Theory
- Appendix
- Historical notes
- List of symbols
- List of spaces
- Index
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Yes, you can access Introduction to the Analysis of Normed Linear Spaces by J. R. Giles in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over 1.5 million books available in our catalogue for you to explore.