This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.

Readership

Graduate students and research mathematicians interested in operator theory.

Table of Contents

• Origins in single operator theory
• Triangular and quasitriangular operator algebras
• Brief on quantum mechanics and Schrödinger operators
• Nonselfadjoint operator algebras and the Feynman-Kac formula
• Commutative subspace lattices
• Reflexive operator algebras
• Hyperreflexive operator algebras
• The absorptin principle
• Similarity of reflexive operator algebras
• References