Measure and Integration

Heinz König

ISBN 10: 3034803818 / ISBN 13: 9783034803816

Edité par Springer Basel, Birkhäuser Basel Jun 2012, 2012

A propos de cet article

Neuware -This collection of Heinz König¿s publications connects to his book of 1997 ¿Measure and Integration¿ and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner ¿ (bullet) and outer ¿ (bullet) premeasures and their extension to unique maximal measures. New ¿envelopes¿ for the initial set function (to replace the traditional Carathéodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 528 pp. Englisch.

N° de réf. du vendeur 9783034803816

Détails bibliographiques

• Titre: Measure and Integration
• Éditeur: Springer Basel, Birkhäuser Basel Jun 2012
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 3034803818
• ISBN à 13 chiffres: 9783034803816
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 34 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 34 millimètres de profondeur
• Poids: 951 grammes

A propos de ce titre

Synopsis

This collection of Heinz König's publications connects to his book of 1997 "Measure and Integration" and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner - (bullet) and outer - (bullet) premeasures and their extension to unique maximal measures. New "envelopes" for the initial set function (to replace the traditional Carathéodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits.

Further to the contributions in this volume, after 2011 Heinz König published two more articles that round up his work: On the marginals of probability contents on lattices (Mathematika 58, No. 2, 319-323, 2012), and Measure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes (Indag. Math., New Ser. 25, No. 2, 305-314, 2014).

À propos de l?auteur

Heinz König is a distinguished analyst, who has given lasting contributions to functional analysis, distribution theory, convex analysis, mathematical economics and many other fields of mathematics. Typical of his work is the analysis or creation of basic new concepts from most original viewpoints. Heinz König gave a large number of original, short and elegant proofs of fundamental results in mathematics. Most remarkable is the new theory of measure and integration he developed in the last two decades.

Born in Stettin (Szczecin/Poland), Heinz König has been a professor at the University of Saarland (Germany) since 1965 and a visiting professor at many prestigious universities around the world.