40 citations · 250 across the 28 of their papers we have counts for
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A note on faces of convex sets
Stephan Weis
The faces of a convex set owe their relevance to an interplay between convexity and topology that is systematically studied in the work of Rockafellar. Infinite-dimensional convex…
Operator systems and convex sets with many normal cones
Stephan Weis
The state space of an operator system of -by- matrices has, in a sense, many normal cones. Merely this convex geometrical property implies smoothness qualities and a clusteri…
Duality of non-exposed faces
Stephan Weis
Given any polar pair of convex bodies we study its conjugate face maps and we characterize conjugate faces of non-exposed faces in terms of normal cones. The analysis is carried ou…
A Note on Touching Cones and Faces
Stephan Weis
We study touching cones of a (not necessarily closed) convex set in a finitedimensional real Euclidean vector space and we draw relationships to other concepts in Convex Geometry.…