Bøger af Heinz Koenig

This collection of Heinz Konig's publications connects to his book of 1997 "e;Measure and Integration"e; 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 "e;envelopes"e; for the initial set function (to replace the traditional Caratheodory 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.

This book aims at restructuring some fundamentals in measure and integration theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond.