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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11575/141401
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