Higher moments of Banach space valued random variables
著者
書誌事項
Higher moments of Banach space valued random variables
（Memoirs of the American Mathematical Society, v. 238,
American Mathematical Society, 2015
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注記
Bibliography: p. 107-110
内容説明・目次
内容説明
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.
目次
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
「Nielsen BookData」 より
