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

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