We may define a weak upper topology w(D, B) for any subset B by taking the coarsest topology rendering continuous the maps bx for all x ∈ B. This weak upper topology agrees with the weak upper topology w(D,Cone(B)), where cone(B) denotes the subcone of C generated by B.
Sep 25, 2015
Jul 24, 2015 · Title:Weak upper topologies and duality for cones. Authors:Klaus Keimel (Technische Universite Darmstadt). View a PDF of the paper titled Weak ...
Weak upper topologies and duality for cones · K. Keimel · Published in Log. Methods Comput. Sci. 24 July 2015 · Mathematics · Log. Methods Comput. Sci.
Sep 25, 2015 · Weak upper topologies and duality for cones · Abstract · Citations (0) · References (16) · Recommended publications.
Bibliographic details on Weak upper topologies and duality for cones.
(a) With respect to its weak⁎upper topology, ⁎ C ⁎ is a stably compact space. A subbasis for the weak⁎upper closed sets is given by the sets:(5) ⁎ A x , r = { h ...
Feb 13, 2021 · Let E be Banach space and E′ its topological dual. The weak topology on E is define to be the coarsest topology (with the least amount of open ...
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Thus they are locally convex topological cones when endowed with the weak*upper topology. As lower semicontinuous functionals preserve the specialisation ...
It turns out that, under an appropriate assumption, an entire topology is compact: the patch topology on the weak∗-upper topology of the dual space of the cone.
cone C, the cone C. ∗ of all lower semicontinuous linear functionals endowed with the upper weak*topology is called the topological dual of C, or simply. K�...