Ideal Spaces

• Main Author: Väth, Martin (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1664
• Subjects: Functional analysis.; Functions of real variables.; Mathematical logic.; Functional Analysis.; Real Functions.; Mathematical Logic and Foundations.
• Physical Description: VI, 150 p. online resource.
• ISBN: 9783540691921
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0093548

Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory.