Synthese, Vol. 186, No. 3, LOGIC MEETS PHYSICS (June 2012), pp. 719-752 (34 pages) Following Birkhoff and von Neumann, quantum logic has traditionally been based on the lattice of closed linear ...

Noncommutative geometry, at its core, challenges the classical notion of a point by allowing coordinates to fail to commute. This alteration leads to a rich interplay between geometry and algebra, ...

Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

For q > 0 let A denote the unital ∗-algebra with generator x and defining relation xx* = qx*x. Based on this algebra we study q-normal operators and the complex q-moment problem. Among other things, ...