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Non-commutative spectral theory for affine function spaces on convex sets
About this Title
Erik M. Alfsen and Frederic W. Shultz
Publication: Memoirs of the American Mathematical Society
Publication Year:
1976; Volume 6, Number 172
ISBNs: 978-0-8218-1872-5 (print); 978-1-4704-0756-8 (online)
DOI: https://doi.org/10.1090/memo/0172
MathSciNet review: 0412822
Table of Contents
Chapters
- 1. Smooth projections
- 2. Projective units and projective faces
- 3. Geometric properties of projective faces
- 4. The lattice of $P$-projections
- 5. Compatibility
- 6. Existence of spectral resolutions
- 7. Uniqueness of spectral resolutions
- 8. Functional calculus
- 9. Abelian subspaces
- 10. Spectral convex sets
- 11. Applications to operator algebras
- 12. Some further results on spaces in spectral duality and on Jordan structure