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A Characterization of l + 1(Γ)
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: IoannisA. PolyrakisIn 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... -
On tangent cones of Frölicher spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: B. Dugmore P.P. NtumbaTangent 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... -
Locally convex cones and the Schröder-Simpson theorem
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Klaus Keimel --- Fachbereich Mathematik, GermanyThis 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...
