A NOTE ON REGULARITY OF SETS AND OF DISTANCE FUNCTIONS IN BANACH-SPACE

[摘要] We show that in every infinite dimensional Banach space there is a compact set C and x in C such that C is regular at x (in the sense of nonsmooth analysis) but such that the associated distance function d(C) is not regular at x and neither is -d(C). (C) 1994 Academic P.s, Inc.

[发布日期] 1994-03-01