2 problems

Reflexivity characterization by quasihyperbolic geodesics in open half spaces
Reflexivity conjecture. The Banach space $X$ is reflexive if and only if each of its open half spaces is geodesic in the quasihyperbolic metric.
openbanach-spaces quasihyperbolic-geometry
0 responses
03
Väisälä's uniqueness, prolongation and convexity conjectures for quasihyperbolic balls
Väisälä's uniqueness, prolongation and convexity conjectures. There are universal constants $c_u,c_p,c_c>0$ such that:
opengeometric-function-theory metric-geometry quasihyperbolic-geometry
0 responses
08

Reflexivity characterization by quasihyperbolic geodesics in open half spaces