Non classical projections logics
Measures and States on them
(Sprache: Englisch)
Classical Quantum Logic consists of orthogonal projections of complex Hilbert space H. The famous Gleason theorem describes states (=probability measure) on the logic B(H) of all orthogonal projections of H. By Gleason theorem, if dimH is equal to infinity...
Leider schon ausverkauft
versandkostenfrei
Buch
71.90 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Non classical projections logics “
Klappentext zu „Non classical projections logics “
Classical Quantum Logic consists of orthogonal projections of complex Hilbert space H. The famous Gleason theorem describes states (=probability measure) on the logic B(H) of all orthogonal projections of H. By Gleason theorem, if dimH is equal to infinity then any (complex, in general) measure is linear combination of states. In the Monograph we study the Quantum logics of projections P(H) in Krein space, J(H) in Hilbert space with conjugation operator, and S(E) of real-orthogonal projections in Euclidean space. An interesting case P(H) is when any projection is generated by a positive projection. We see that the logic S(E) consists of layers of isomorphic logics. The richest class of states exists on the logic S(E). If dimH is equal to infinity, then on the logic J(H) every linear measure (that is, the measure extending to a linear functional) is a complex-valued measure. The results of the monograph clarify one Birkhoff's problem. The Monograph contains a number of unsolved problems. Most of the results are carried over to projections from von Neumann algebras.
Bibliographische Angaben
- Autor: Marjan Matvejchuk
- 2018, 212 Seiten, Maße: 22 cm, Kartoniert (TB), Englisch
- Verlag: LAP Lambert Academic Publishing
- ISBN-10: 6139833930
- ISBN-13: 9786139833931
Sprache:
Englisch
Kommentar zu "Non classical projections logics"
Schreiben Sie einen Kommentar zu "Non classical projections logics".
Kommentar verfassen