
Higher Moments of Banach Space Valued Random Variables
American Mathematical Society (Publisher)
Will be published approx. on 30. December 2015
Book
Paperback/Softback
110 pages
978-1-4704-1465-8 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
280 gr
ISBN-13
978-1-4704-1465-8 (9781470414658)
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Schweitzer Classification
Persons
Svante Janson and Sten Kaijser, Uppsala University, Sweden.
Content
Introduction
Preliminaries
Moments of Banach space valued random variables
The approximation property Hilbert spaces $L^p(\mu)$ $C(K)$ $c_0(S)$ $D[0,1]$
Uniqueness and convergence
Appendix A. The reproducing Hilbert space
Appendix B. The Zolotarev distances
Bibliography
Preliminaries
Moments of Banach space valued random variables
The approximation property Hilbert spaces $L^p(\mu)$ $C(K)$ $c_0(S)$ $D[0,1]$
Uniqueness and convergence
Appendix A. The reproducing Hilbert space
Appendix B. The Zolotarev distances
Bibliography