We investigate certain Brouwer-Zadeh lattices that serve as abstract counterparts of lattices of e¤ects in Hilbert spaces under the spectral ordering. These algebras, called PBZ*-lattices, can also be seen as generalisations of orthomodular lattices and are remarkable for the collapse of three notions of sharpnessthat are distinct in general Brouwer-Zadeh lattices. We investigate the structure theory of PBZ*- lattices and their reducts; in particular, we prove some embedding re- sults for PBZ*-lattices and provide an initial description of the lattice of PBZ*-varieties.
A new view of effects in a Hilbert space / Giuntini, R; Ledda, A; Paoli, F. - In: STUDIA LOGICA. - ISSN 0039-3215. - 104:6(2016), pp. 1145-1177.
|Titolo:||A new view of effects in a Hilbert space|
|Data di pubblicazione:||2016|
|Citazione:||A new view of effects in a Hilbert space / Giuntini, R; Ledda, A; Paoli, F. - In: STUDIA LOGICA. - ISSN 0039-3215. - 104:6(2016), pp. 1145-1177.|
|Tipologia:||1.1 Articolo in rivista|