The Theory of Subnormal Operators

This volume is about rational functions rather than polynomials and although it is a research monograph, it has many of the traits of a textbook, including exercises. The book requires a background in function theory and functional analysis, but is otherwise fairly self-contained. Topics included are: the basics of subnormal opeator theory, some results on hypernormal operators, an exposition of rational approximation interspersed with applications to operator theory, a study of
weak-star rational approximation, a set of results that can be termed structure theorems for subnormal operators, and a proof that analytic bounded point evaluations exist.