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.
Titolo: | A new view of effects in a Hilbert space | |
Autori: | ||
Data di pubblicazione: | 2016 | |
Rivista: | ||
Handle: | http://hdl.handle.net/11584/156385 | |
Tipologia: | 1.1 Articolo in rivista |
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