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.
| ISBN: | 9781470414658 |
| Publication date: | 30th December 2015 |
| Author: | Svante Janson, Sten Kaijser |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 110 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Probability and statistics |