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• W2767684812 abstract "We demonstrate that the set $L^infty(X, [-1,1])$ of all measurable functions over a Borel measure space $(X, mathcal B, mu )$ with values in the unit interval is typically non-polyhedric when interpreted as a subset of a dual space. Our findings contrast the classical result that subsets of Dirichlet spaces with pointwise upper and lower bounds are polyhedric. In particular, additional structural assumptions are unavoidable when the concept of polyhedricity is used to study the differentiability properties of solution maps to variational inequalities of the second kind in, e.g., the spaces $H^{1/2}(partial Omega)$ or $H_0^1(Omega)$." @default.
• W2767684812 created "2017-11-17" @default.
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• W2767684812 date "2017-11-07" @default.
• W2767684812 modified "2023-10-01" @default.
• W2767684812 title "On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces" @default.
• W2767684812 hasPublicationYear "2017" @default.
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