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math.FA2025
The metric geometry of subspaces and convex cones of the Banach space revisited
A. B. Németh
It is proved that the linearity of metric projections on subspaces and the convexity of the polars of the convex cones in the uniformly convex and uniformly smooth Banach space are…
math.FA2025
In which Banach spaces is the polar of every convex cone convex
A. B. Németh
Using the notion of the normalized duality map it is characterized the class of the uniformly convex uniformly smooth Banach spaces in which each convex cone has a convex polar.
math.FA2025
About the kernel of the strongly quasiconvex function generated projection
A. B. Németh, S. Z. Németh
This paper explores a natural generalization of Euclidean projection through the lens of strongly quasiconvex functions, as developed in prior works. By establishing a connection b…