AROUND ULAM%26apos;S QUESTION ON RETRACTIONS

作者:Chaoha Phichet*; Goebel Kazimierz; Termwuttipong Imchit
来源:Topological Methods in Nonlinear Analysis, 2012, 40(1): 215-224.

摘要

It is known that the unit ball in infinitely dimensional Hilbert space can be retracted onto its boundary via a lipschitzian mapping. The magnitude of Lipschitz constant is only roughly estimated. The note contains a number of observations connected to this result and opens some new problems.