Browsing 2016 by MSC "46"

Now showing items 1-4 of 4

    • Analytic Structure in Fibers 

      [OWP-2016-13] Aron, Richard M.; Falcó, Javier; García, Domingo; Maestre, Manuel (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
      Let BX be the open unit ball of a complex Banach space X, and let H∞(BX) and Au(BX) be, respectively, the algebra of bounded holomorphic functions on BX and the subalgebra of uniformly ...

    • Boundary Representations of Operator Spaces, and Compact Rectangular Matrix Convex Sets 

      [OWP-2016-24] Fuller, Adam H.; Hartz, Michael; Lupini, Martino (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-13)
      We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein-Milman and the bipolar theorems in this context. We ...

    • Dirichlet Approximation and Universal Dirichlet 

      [OWP-2016-12] Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul Montpetit; Maestre, Manuel; Nestoridis, Vassili (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-16)
      We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ...

    • Rational Approximation on Products of Planar Domains 

      [OWP-2016-05] Aron, Richard M.; Gauthier, Paul Montpetit; Maestre, Manuel; Nestoridis, Vassili; Falcó, Javier (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
      We consider A(Ω), the Banach space of functions f from ¯Ω=∏i∈I¯Ui to C that are continuous with respect to the product topology and separately holomorphic, where ...