Contents

Introduction vii

Lecture 1. Origins in Single Operator theory 1

Lecture 2. Triangulär and quasitriangular Operator algebras 9

Lecture 3. Brief on quantum mechanics and Schrödinger Operators 17

Lecture 4. Nonselfadjoint Operator algebras and the Feynman-Kac formula . . .29

Lecture 5. Commutative subspace lattices 41

Lecture 6. Reflexive Operator algebras 51

Lectures 7 and 8. Hyperreflexive Operator algebras 61

Lecture 9. The absorption principle 73

Lecture 10. Similarity of reflexive Operator algebras 85

References 91