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 ...

This is a preview. Log in through your library . Abstract Given two (or n) isometries on a Hilbert space 𝓗, such that their ranges are mutually orthogonal, one can use them to generate a C*-algebra.

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 ...

An operator algebra is an algebra of continuous linear operators on a Hilbert space. Such algebras can be associated to a variety of problems in mathematics and mathematical physics. The study of ...