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Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics

About this Title

Harald Upmeier

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1987; Volume 67
ISBNs: 978-0-8218-0717-0 (print); 978-1-4704-2427-5 (online)
DOI: https://doi.org/10.1090/cbms/067
MathSciNet review: MR874756
MSC: Primary 17C35; Secondary 17C65, 32M15, 46H70, 46L70, 47D25

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Table of Contents

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Chapters

• Lecture 1. $JB$-Algebras and $JB^*$-Triples
• Lecture 2. Bounded Symmetric Domains and $JB^*$-Triples
• Lecture 3. Siegel Domains and Cayley Transformations
• Lecture 4. Geometry of Jordan Structures and Quantum Mechanics
• Lecture 5. Derivations and Dynamical Systems
• Lecture 6. Kernel Functions and Harmonic Analysis
• Lecture 7. Harmonic Functions and Hua Operators
• Lecture 8. Toeplitz Operators and Toeplitz $C^*$-Algebras
• Lecture 9. Index Theory for Multivariable Toeplitz Operators
• Lecture 10. Quantization of Curved Phase Spaces