Fundamentals of the Theory of Operator Algebras

These volumes are companions to the treatise; "e;Fundamentals of the Theory of Operator Algebras,"e; which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively. As stated in the preface to those volumes, "e;Their primary goal is to teach the sub- ject and lead the reader to the point where the vast recent research literature, both in the subject proper and in its many applications, becomes accessible."e; No attempt was made to be encyclopcedic; the choice of material was made from among the fundamentals of what may be called the "e;classical"e; theory of operator algebras. By way of supplementing the topics selected for presentation in "e;Fundamentals,"e; a substantial list of exercises comprises the last section of each chapter. An equally important purpose of those exer- cises is to develop "e;hand-on"e; skills in use ofthe techniques appearing in the text. As a consequence, each exercise was carefully designed to depend only on the material that precedes it, and separated into segments each of which is realistically capable of solution by an at- tentive, diligent, well-motivated reader.