Characterization of projection lattices of Hilbert spaces

Journal Article · Mon Sep 01 00:00:00 EDT 1986 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00668822· OSTI ID:6684293

Szambien, H H

The classical lattices of projections of Hilbert spaces over the real, the complex or the quaternion number field are characterized among the totality of irreducible, complete, orthomodular, atomic lattices satisfying the covering property. To this end, so-called paratopological lattices are introduced, i.e, lattices carrying a topology that renders the lattice operations restrictedly continuous.

• Research Organization: Inst. fuer Mathematik, Lehrgebeit D. Universitaet Hannover, Hannover
• OSTI ID: 6684293
• Journal Information: Int. J. Theor. Phys.; (United States), Vol. 25:9
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
HILBERT SPACE
PROJECTION OPERATORS
ATOMIC MODELS
MATHEMATICAL MANIFOLDS
QUANTUM MECHANICS
TOPOLOGICAL MAPPING
TOPOLOGY
BANACH SPACE
FIELD THEORIES
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
QUANTUM FIELD THEORY
SPACE
TRANSFORMATIONS
645400* - High Energy Physics- Field Theory