Naylor, Arch W. : University of Michigan, Ann Arbor MI
Sell, George R. : University of Minnesota, Minneapolis, MN
Summary
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.
Table of Contents
Preface.
Introduction.
Set-Theoretic Structure.
Topological Structure.
Algebraic Structure.
Combined Topological and Algebraic Structure.
Analysis of Linear Operators (Compact Case).
Analysis of Unbounded Operators.
The Hoelder, Schwartz, and Minkowski Inequalities.
Cardinality.
Zorn's Lemma.
Integration and Measure Theory.
Probability Spaces and Stochastic Processes.
Index of Symbols.
Index.
