Functional Analysis and Applications Seminar

 

(organized by the Functional Analysis and Applications Group)

 

Department of Mathematics, University of Aveiro

 


 

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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