Ideal Spaces

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...

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Détails bibliographiques
Auteur principal: Väth, Martin, 1967-...., mathématicien
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1664
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Edition sous un autre format:• Ideal spaces, Martin Väth, 1997, Berlin, Springer, 1 volume (146 pages), Lecture notes in mathematics, 3-540-63160-7
• Ideal Spaces, Texte imprimé, 9783662191323
Table des matières:
  • 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.