1.

Record Nr.

UNINA9910788561603321

Autore

Weber Martin R.

Titolo

Finite elements in vector lattices / / Martin R. Weber

Pubbl/distr/stampa

Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2014

©2014

ISBN

3-11-037827-2

3-11-035078-5

Descrizione fisica

1 online resource (230 p.)

Classificazione

SK 600

Disciplina

515.35

Soggetti

Boundary value problems - Numerical solutions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- Contents -- 1. Introduction -- 2. Ordered vector spaces and vector lattices -- 3. Finite, totally finite and self majorizing elements in Archimedean vector lattices -- 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 -- List of Examples -- List of Symbols -- Bibliography -- Index

Sommario/riassunto

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 importantcontributions achieved by a series of mathematicians that can only be found in scattered in literature.