Next talk of the Seminar (14:00, Zoom meeting)
05/04/2024: “Geometric
conditions to existence and uniqueness of generalized projections in
Hilbert spaces”
Fátima Pereira (CIMA,
University of Évora)
For a closed subset C of a Hilbert space H and for
a sublinear functional ,
which is equivalent to the norm of the space, I will present (local)
geometric conditions guaranteeing existence and uniqueness of nearest
points to C in the sense of the semidistance
generated by
The functional considered will be the Minkowski
functional of some closed convex bounded subset F of H, with the origin in
its interior; and the geometric conditions will be conditions on the shape
of C and F near the points of interest. For that I will introduce the
notion of curvature in H.
I will finish by presenting the definition of
directional curvature in finite dimensional spaces and an easy formula to
calculate it.
Link: https://videoconf-colibri.zoom.us/j/93680477132?pwd=WWtsdk5wbnUzMG1aTHhaKzJrQXNJUT09
ID da reunião: 936 8047 7132
Senha de acesso: 385412
This Seminar is supported in part by the
Portuguese Foundation for Science and Technology (FCT - Fundação para a Ciência e a Tecnologia),
through CIDMA - Center for Research and Development in Mathematics and
Applications, within project UIDB/04106/2020
(https://doi.org/10.54499/UIDB/04106/2020).
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