Pettis integral and measure theory / [electronic resource] Michel Talagrand.

By: Talagrand, Michel, 1952-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 307Publication details: Providence, R.I., USA : American Mathematical Society, c1984Description: 1 online resource (ix, 224 p.)ISBN: 9781470407209 (online)Subject(s): Pettis integral | Measure theory | Banach spacesAdditional physical formats: Pettis integral and measure theory /DDC classification: 510 s | 515/.63 LOC classification: QA3 | .A57 no. 307 | QA325Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Bibliography: p. 220-224.

Includes index.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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