**Proceedings of Symposia in Pure Mathematics**

Volume: 51;
1990;
1025 pp;
Hardcover

MSC: Primary 47;
Secondary 00; 46

**Print ISBN: 978-0-8218-1486-4
Product Code: PSPUM/51**

List Price: $232.00

AMS Member Price: $185.60

MAA Member Price: $208.80

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# Operator Theory/Operator Algebras and Applications

Share this page *Edited by *
*William B. Arveson; Ronald G. Douglas*

Operator theory has come of age during the last twenty years.
The subject has developed in several directions using new and powerful
methods that have led to the solution of basic problems previously
thought to be inaccessible. In addition, operator theory has had
fundamental connections with a range of other mathematical topics.
For example, operator theory has made mutually enriching contacts with
other areas of mathematics, such as algebraic topology and index
theory, complex analysis, and probability theory. The algebraic
methods employed in operator theory are diverse and touch upon a broad
area of mathematics. There have been direct applications of operator
theory to systems theory and statistical mechanics. And significant
problems and motivations have arisen from the subject's traditional
underpinnings for partial differential equations.

This two-volume set contains the proceedings of an AMS Summer
Institute on Operator Theory/Operator Algebras, held in July 1988 at
the University of New Hampshire. The Institute sought to summarize
progress and examine the common points of view that now run through
the subject. With contributions from some of the top experts in the
field, this publication illuminates a broad range of current research
topics in operator theory.