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  1. A Characterization of <em>l</em>
               <sup>+</sup>
               <sub>1</sub>(Γ)

    A Characterization of l + 1(Γ)

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: IoannisA. Polyrakis
    In this article we give necessary and sufficient conditions in order a closed cone of a Banach space E to be isomorphic to the positive cone l 1 +(Γ) of an l 1(Γ) space. This problem has applications in the...
  2. On tangent cones of Frölicher spaces

    On tangent cones of Frölicher spaces

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: B. Dugmore P.P. Ntumba
    Tangent spaces, tangent cones, invertible pairs, and various other notions common to differential geometry are defined for Frölicher spaces in a natural way and seen to coincide with their counterparts for smooth finite dimensional manifolds. The geometry of the wedge...
  3. Locally convex cones and the Schröder-Simpson theorem

    Locally convex cones and the Schröder-Simpson theorem

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Klaus Keimel --- Fachbereich Mathematik, Germany
    This paper paper has two goals: Firstly, to present the conceptual proof of the Schröder-Simpson theorem. The Schröder-Simpson theorem is stated in terms of domain theory and uses directed complete partially ordered cones and Scott-continuous maps. These structures are used...