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.

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 a...

Table of Contents:

• Introduction
• Basic definitions and properties
• Ideal spaces with additional properties
• Ideal spaces on product measures and calculus
• Operators and applications
• Appendix: Some measurability results
• Sup-measurable operator functions
• Majorising principles for measurable operator functions
• A generalization of a theorem of Luxemburg-Gribanov
• References
• Index.