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Measure and Integration

Publications 1997-2011

Springer Basel,
Buch
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This collection of Heinz König’s publications connects to his 1997 book of the same title, reviewing significant developments in the subject from then to now. The result is a consistent new examination of measure theory, exploring new concepts and applications.

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Hauptbeschreibung

Titel: Measure and Integration
Autoren/Herausgeber: Heinz König
Ausgabe: 2012

ISBN/EAN: 9783034807555

Seitenzahl: 512
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 795 g
Sprache: Englisch

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.

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.

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