1.

Record Nr.

UNINA9910788608403321

Autore

Alfsen Erik M (Erik Magnus), <1930->

Titolo

Non-commutative spectral theory for affine function spaces on convex sets / / Erik M. Alfsen and Frederic W. Shultz

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1976]

©1976

ISBN

1-4704-0756-6

Descrizione fisica

1 online resource (135 p.)

Collana

Memoirs of the American Mathematical Society ; ; volume 6, number 172 (July 1976)

Disciplina

515/.7

Soggetti

C*-algebras

Von Neumann algebras

Normed linear spaces

Convex sets

Spectral theory (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 6, number 172."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""