Linear Operator Theory in Engineering and Science

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Springer Science & Business Media, Mar 1, 2000 - Mathematics - 624 pages
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This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.
  

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Contents

Introduction
1
SetTheoretic Structure
11
Topological Structure
43
Introduction to Metric Spaces
45
Some Deeper Metric Space Concepts
77
Algebraic Structure
159
Introduction to Linear Spaces
161
Further Topics
196
Banach Spaces
215
Hilbert Spaces
272
Special Operators
352
Analysis of Linear Operators Compact Case
395
An Illustrative Example
397
The Spectrum
411
Spectral Analysis
439
Analysis of Unbounded Operators
485

Combined Topological and Algebraic Structure
213

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