Proceedings of the Summer Research Institute on [title] held at the U. of New Hampshire, Durham, July 1988. During the last 20 years operator theory has developed in several directions, using new and powerful methods that have led to the solution of previously inaccessible basic problems. Some of these developments connect with other areas of mathematics, including algebraic topology and index theory, complex analysis in one and several variables, and probability theory. There have been direct applications to systems theory, complex variables, and statistical mechanics. These papers summarize progress and examine the common points of view that now run through the subject. Annotation copyright Book News, Inc. Portland, Or.

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