TY  - BOOK
AU  - Janson,Svante
AU  - Kaijser,Sten
TI  - Higher moments of Banach space valued random variables
T2  - Memoirs of the American Mathematical Society
SN  - 9781470414658 (alk. paper)
U1  - 510 23
PY  - 2015///
CY  - Providence :       
PB  - American Mathematical Society
KW  - Random variables
KW  - Banach spaces
N1  - Includes bibliographical references; 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 --
Appendix A. The reproducing Hilbert space --
Appendix B. The Zolotarev distances --
Bibliography
N2  - 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
ER  -