Published January 1989
| Version v1
Journal article
Sets of states and extreme points
Description
The natural embedding of orthoposets and quantum logics, equipped with certain sets of states, into their corresponding order-unit normed vector space is investigated. Necessary (resp, sufficient) conditions are stated for the case that the image of the embedding and the extreme points of the order interval, bounded by 0 and the order unit, coincide. Modifications of the state space are discussed from this point of view and the special case of a Boolean algebra is characterized
Additional details
Publishing Information
- Journal Title
- International Journal of Theoretical Physics
- Journal Volume
- 28
- Journal Issue
- 1
- Series
- Int. J. Theor. Phys.
- Journal Page Range
- 27-34
- ISSN
- 0020-7748
- CODEN
- IJTPB
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 21000017
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; BOUNDARY CONDITIONS; CONVEX MANIFOLDS; HILBERT SPACE; INVARIANT IMBEDDING; MATHEMATICAL LOGIC; MINKOWSKI SPACE; PROJECTION OPERATORS; QUANTUM MECHANICS; SET THEORY; TOPOLOGY; VECTORS
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; SPACE; TENSORS