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On the Theory of Vector Measures
| eBook ISBN: | 978-1-4704-0156-6 |
| Product Code: | MEMO/12/195.E |
| List Price: | $26.00 |
| MAA Member Price: | $23.40 |
| AMS Member Price: | $15.60 |
Click above image for expanded view
On the Theory of Vector Measures
| eBook ISBN: | 978-1-4704-0156-6 |
| Product Code: | MEMO/12/195.E |
| List Price: | $26.00 |
| MAA Member Price: | $23.40 |
| AMS Member Price: | $15.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 12; 1977; 72 ppMSC: Primary 28
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Table of Contents
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Chapters
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0. Background
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1. Notation, definitions, and introduction
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2. Boundedness in $S^\tau (\mathcal {R})$
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3. $\beta (S^\tau (\mathcal {R})^*,S(\mathcal {R}))$ is the topology of the variation norm
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4. Uniform strong boundedness and $\tau $-equicontinuity
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5. Buck’s $(\ell ^\infty , \beta )$ as an example of $\widehat {S^\tau (\mathcal {R})}$
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6. An extension theorem
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7. Every $\sigma $-ideal determines a decomposition of $\operatorname {sca}(\mathcal {R},W)$
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8. $\widehat {S^\tau (\mathcal {R})}$ as a projective limit
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9. $\widehat {S^\tau (\mathcal {R}/\mu )}$ and the Radon-Nikodym theorem
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10. Semi-reflexivity of $\widehat {S^\tau (\mathcal {R})}$ and the range of a vector measure
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11. $\sigma (S^\tau (\mathcal {R})^*, \widehat {S^\tau (\mathcal {R})})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems
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12. Applications to measure theory for (abstract) Boolean algebras
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
0. Background
-
1. Notation, definitions, and introduction
-
2. Boundedness in $S^\tau (\mathcal {R})$
-
3. $\beta (S^\tau (\mathcal {R})^*,S(\mathcal {R}))$ is the topology of the variation norm
-
4. Uniform strong boundedness and $\tau $-equicontinuity
-
5. Buck’s $(\ell ^\infty , \beta )$ as an example of $\widehat {S^\tau (\mathcal {R})}$
-
6. An extension theorem
-
7. Every $\sigma $-ideal determines a decomposition of $\operatorname {sca}(\mathcal {R},W)$
-
8. $\widehat {S^\tau (\mathcal {R})}$ as a projective limit
-
9. $\widehat {S^\tau (\mathcal {R}/\mu )}$ and the Radon-Nikodym theorem
-
10. Semi-reflexivity of $\widehat {S^\tau (\mathcal {R})}$ and the range of a vector measure
-
11. $\sigma (S^\tau (\mathcal {R})^*, \widehat {S^\tau (\mathcal {R})})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems
-
12. Applications to measure theory for (abstract) Boolean algebras
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