Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets.
Alfsen, Erik M.
Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets. - 1st ed. - 1 online resource (135 pages) - Memoirs of the American Mathematical Society ; v.6 . - Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- Introduction -- 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 -- References.
9781470407568
C*-algebras.
Von Neumann algebras.
Normed linear spaces.
Convex sets.
Spectral theory (Mathematics).
Electronic books.
QA326 -- .A44 1976eb
515/.7
Non-Commutative Spectral Theory for Affine Function Spaces on Convex Sets. - 1st ed. - 1 online resource (135 pages) - Memoirs of the American Mathematical Society ; v.6 . - Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- Introduction -- 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 -- References.
9781470407568
C*-algebras.
Von Neumann algebras.
Normed linear spaces.
Convex sets.
Spectral theory (Mathematics).
Electronic books.
QA326 -- .A44 1976eb
515/.7