Hahn-Banach for Riesz homomorphisms
β Scribed by G.J.H.M. Buskes; A.C.M. van Rooij
- Publisher
- Elsevier Science
- Year
- 1989
- Weight
- 468 KB
- Volume
- 92
- Category
- Article
- ISSN
- 1385-7258
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## Abstract Let __E__ and __F__ be uniformly complete vector lattices with disjoint complete systems (__u~i~__ )~__i__ β__I__~ and (__v~i~__ )~__i__ β__I__~ of projection elements of __E__ and __F__ respectively. In this paper we prove that if __T__ is a lattice homomorphism from __E__ into __F__
The conventional Hahn-Banach extension theorem based on vector space has been widely used to obtain many important and interesting results in nonlinear analysis, vector optimization and mathematical economics. Although the interval space is not a real vector space, the Hahn-Banach extension theorems