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Pettis integral and measure theory
About this Title
Michel Talagrand
Publication: Memoirs of the American Mathematical Society
Publication Year:
1984; Volume 51, Number 307
ISBNs: 978-0-8218-2307-1 (print); 978-1-4704-0720-9 (online)
DOI: https://doi.org/10.1090/memo/0307
MathSciNet review: 756174
MSC: Primary 46G10; Secondary 28B05, 46B20
Table of Contents
Chapters
- 1. Measure theory prerequisites
- 2. Measurability in a Banach space
- 3. Scalarly measurable functions
- 4. The Dunford and Pettis integrals
- 5. Criteria for Pettis integrability
- 6. Properly measurable functions
- 7. The weak RNP and related properties
- 8. Fremlin’s subsequence theorem
- 9. Basic lemma
- 10. Joint measurability
- 11. Convex hull and conditional expectation
- 12. On a problem of A. Bellow
- 13. Filters and extension of measure
- 14. Pointwise compacts of Baire-measurable functions
- 15. Translations in groups
- 16. Further topics on measurability in a Banach space