In this paper, we aim at highlighting the significance of theA- andB-properties introduced by Finch (Bull Aust Math Soc 2:57-62, 1970b). These conditions turn out to capture interesting structural features of lattices of closed subspaces of complete inner vector spaces. Moreover, we generalise them to the context of effect algebras, establishing a novel connection between quantum structures (orthomodular posets, orthoalgebras, effect algebras) arising from the logico-algebraic approach to quantum mechanics.
On Finch's Conditions for the Completion of Orthomodular Posets
Fazio, D
;
2023-01-01
Abstract
In this paper, we aim at highlighting the significance of theA- andB-properties introduced by Finch (Bull Aust Math Soc 2:57-62, 1970b). These conditions turn out to capture interesting structural features of lattices of closed subspaces of complete inner vector spaces. Moreover, we generalise them to the context of effect algebras, establishing a novel connection between quantum structures (orthomodular posets, orthoalgebras, effect algebras) arising from the logico-algebraic approach to quantum mechanics.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
