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Pettis Integral and Measure Theory
 
Pettis Integral and Measure Theory
eBook ISBN:  978-1-4704-0720-9
Product Code:  MEMO/51/307.E
List Price: $32.00
MAA Member Price: $28.80
AMS Member Price: $19.20
Pettis Integral and Measure Theory
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Pettis Integral and Measure Theory
eBook ISBN:  978-1-4704-0720-9
Product Code:  MEMO/51/307.E
List Price: $32.00
MAA Member Price: $28.80
AMS Member Price: $19.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 511984; 224 pp
    MSC: Primary 46; Secondary 28
  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 511984; 224 pp
MSC: Primary 46; Secondary 28
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.