• Speaker: Coenraad Labuschagne, University of South Australia
  • Title: The Chaney-Shaefer $\ell$-Tensor Product $E\tilde{\otimes}_{\ell}Y$
  • Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 4:00 pm, Thu, 21st Apr 2011
  • Abstract:

    The Chaney-Schaefer $\ell$-tensor product $E\tilde{\otimes}_{\ell}Y$ of a Banach lattice $E$ and a Banach space $Y$ may be viewed as an extension of the Bochner space $L^p(\mu,Y) (1\leq p < \infty)$. We consider an extension of a classical martingale characterization of the Radon Nikodým property in $L^p(\mu,Y)$, for $1 < p < 1$, to $E\tilde{\otimes}_{\ell}Y$. We consider consequences of this extension, and time permitting, use it to represent set-valued measures of risk de ned on Banach lattice-valued Orlicz hearts.

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