Introduction to Operator Theory

This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, which was held at Lisbon in September 2006.

This book is an introduction to the theory of linear one-dimensional singular integral equations.

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.

Authors: Christensen, Ole
Extensive and updated exercises included at the end of every chapter
Selected research topics presented with recommendations for more advanced topics and further reading
Basic results presented in an accessible way for both pure and applied mathematicians
Full proofs included in introductory chapters; only basic knowledge of functional analysis required