Operational logics and the Hahn-Jordan property
โ Scribed by Yewande Olubummo; Thurlow A. Cook
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 475 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0015-9018
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We work in set theory ZF without axiom of choice. Though the HahnโBanach theorem cannot be proved in ZF, we prove that every Gateauxโdifferentiable uniformly convex Banach space __E__ satisfies the following continuous HahnโBanach property: if __p__ is a continuous sublinear functional
## Abstract We study the quantum logics which satisfy the Riesz Interpolation Property. We call them the RIP logics. We observe that the class of RIP logics is considerable largeโit contains all lattice quantum logics and, also, many (infinite) nonโlattice ones. We then find out that each RIP logic