Higher moments of Banach space valued random variables /

We 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. We study both the projective and injective tensor products, and their relation. Moreover, in or...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Janson, Svante (Auteur), Kaijser, Sten (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 2015.
Collection:Memoirs of the American Mathematical Society ; no. 1127.
Sujets:
Random variables.
Banach spaces.
Variables aléatoires.
Espaces de Banach.
Banach spaces
Random variables
Zufallsvariable
Banach-Raum
Accès en ligne:Texto completo
Table des matières:
  • Introduction
  • Preliminaries
  • Moments of Banach space valued random variables
  • The approximation property
  • Hilbert spaces
  • L[superscript p]([mu])
  • C(K)
  • c₀(S)
  • D[0, 1]
  • Uniqueness and convergence
  • Appendix A: The reproducing Hilbert space
  • Appendix B: The Zolotarev distances
  • Bibliography.

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