| eBook ISBN: | 978-1-4704-2617-0 |
| Product Code: | MEMO/238/1127.E |
| List Price: | $80.00 |
| MAA Member Price: | $72.00 |
| AMS Member Price: | $48.00 |
| eBook ISBN: | 978-1-4704-2617-0 |
| Product Code: | MEMO/238/1127.E |
| List Price: | $80.00 |
| MAA Member Price: | $72.00 |
| AMS Member Price: | $48.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 238; 2015; 110 ppMSC: Primary 60; Secondary 46
The authors define the \(k\):th moment of a Banach space valued random variable as the expectation of its \(k\):th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space.
The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.
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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. Moments of Banach space valued random variables
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4. The approximation property
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5. Hilbert spaces
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6. $L^p(\mu )$
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7. $C(K)$
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8. $c_0(S)$
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9. $D[0,1]$
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10. Uniqueness and Convergence
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A. The Reproducing Hilbert Space
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B. The Zolotarev Distances
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The authors define the \(k\):th moment of a Banach space valued random variable as the expectation of its \(k\):th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space.
The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Moments of Banach space valued random variables
-
4. The approximation property
-
5. Hilbert spaces
-
6. $L^p(\mu )$
-
7. $C(K)$
-
8. $c_0(S)$
-
9. $D[0,1]$
-
10. Uniqueness and Convergence
-
A. The Reproducing Hilbert Space
-
B. The Zolotarev Distances
