Enthält:
1. Introduction2. Ordered vector spaces and vector lattices -- 3. Finite, totally finite and selfmajorizing elements -- 4. Finite elements in vector lattices of linear operators -- 5. The space of maximal ideals of a vector lattice -- 6. Topological characterization of finite elements -- 7. Representations of vector lattices and their properties -- 8. Vector lattices of continuous functions with finite elements -- 9. Representations of vector lattices by means of continuous functions -- 10. Representations of vector lattices by means of bases of finite elements.
Beschreibung:
Finite elements in Archimedean vector lattices are introduced as abstract models of finite functions, i.e. continuous functions with compact support on some topological space. The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013.It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.--
Finite elements in Archimedean vector lattices are introduced as abstract models of finite functions, i.e. continuous functions with compact support on some topological space. The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013.It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.--