On some properties of PBZ*-lattices

TL;DR

This paper explores algebraic properties of PBZ*-lattices, which are structures related to the effects algebra of a Hilbert space, aiming to deepen understanding of their algebraic and spectral properties.

Contribution

It advances the algebraic theory of PBZ*-lattices, providing new insights into their structure and relation to effect algebras in Hilbert spaces.

Findings

Identifies key algebraic properties of PBZ*-lattices

Establishes connections between PBZ*-lattices and effect algebras

Provides structural characterizations of PBZ*-lattices

Abstract

We continue the algebraic investigation of PBZ*-lattices, a notion introduced in [12] in order to obtain insights into the structure of certain algebras of effects of a Hilbert space, lattice-ordered under the spectral ordering.