CECM Colloquium

Wednesday September 19, 2001 in K9509, SFU

3:30 - 4:20
Dr Kazimierz Goebel

Title: "Minimal displacement and optimal retraction problems in Banach spaces"

Abstract: Let (X,|| ||) be an infinite dimensional Banach space with unit ball B and unit sphere S. It is known that Brouwer's Fixed Point Theorem "strongly fails" in this setting. This means that:

The minimal displacement problem means finding uniform evaluations of d(T) within various classes of mappings. The optimal retraction problem is a question of finding retractions of B onto S having relatively small Lipschitz constant.