CBMS Regional Conference Series in Mathematics
Volume: 67;
1987;
85 pp;
Softcover
MSC: Primary 17;
Secondary 32; 46; 47
Print ISBN: 978-0-8218-0717-0
Product Code: CBMS/67
List Price: $24.00
Individual Price: $19.20
Electronic ISBN: 978-1-4704-2427-5
Product Code: CBMS/67.E
List Price: $24.00
Individual Price: $19.20
Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics
Share this pageHarald Upmeier
A co-publication of the AMS and CBMS
This book is based on the CBMS Regional Conference held at the University of California, Irvine, in July 1985. Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces. The author describes some relevant results and puts them in a general framework, based on the concepts of \(JB\)-algebra and \(JB^\ast\)-triple.
Readership
Table of Contents
Table of Contents
Jordan Algebras in Analysis, Operator Theory, and Quantum Mechanics
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- Lecture 1: JB-Algebras and JB*-Triples 110 free
- Lecture 2: Bounded Symmetric Domains and JB*-Triples 918
- Lecture 3: Siegel Domains and Cayley Transformations 1928
- Lecture 4: Geometry of Jordan Structures and Quantum Mechanics 2635
- Lecture 5: Derivations and Dynamical Systems 3544
- Lecture 6: Kernel Functions and Harmonic Analysis 4251
- Lecture 7: Harmonic Functions and Hua Operators 4958
- Lecture 8: Toeplitz Operators and Toeplitz C*- Algebras 5665
- Lecture 9: Index Theory for Multivariable Toeplitz Operators 6574
- Lecture 10: Quantization of Curved Phase Spaces 7281
- References 8190
- Back Cover Back Cover195