Electronic ISBN:  9781470426170 
Product Code:  MEMO/238/1127.E 
List Price:  $80.00 
MAA Member Price:  $72.00 
AMS Member Price:  $48.00 

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. 
Table of Contents

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


Request Review Copy

Get Permissions
 Book Details
 Table of Contents

 Request Review Copy
 Get Permissions
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