Finite elements in vector lattices / Martin R. Weber.

Format:

Book

Author/Creator:

Weber, Martin R., author.

Language:

English

Subjects (All):

Boundary value problems--Numerical solutions.

Boundary value problems.

Physical Description:

1 online resource (230 p.)

Edition:

1st ed.

Place of Publication:

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

Language Note:

English

Summary:

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.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9783110378276

3110378272

9783110350784

3110350785

OCLC:

890071015