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Pettis Integral and Measure Theory Book PDF Summary

We present a self-contained account of measure theory and integration in a Banach space. We give a detailed analysis of the weak Baire probabilities on a Banach space E, and on its second dual. Scalarly (= weak) measurable functions valued in E are studied via their image measure and it is shown how to regularize them using lifting. General criteria are given to ensure that they are Pettis integrable. This study relies on tools from topological and abstract measure theory.

Detail Book of Pettis Integral and Measure Theory PDF

Pettis Integral and Measure Theory
  • Author : Michel Talagrand
  • Release : 21 September 1984
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821823071
  • Genre : Banach spaces
  • Total Page : 238 pages
  • Language : English
  • PDF File Size : 20,7 Mb

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