Title of article :
A Note on Regularity of Sets and of Distance Functions in Banach Space
Author/Authors :
.M. Borwein، نويسنده , , M. Fabian، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1994
Pages :
5
From page :
566
To page :
570
Abstract :
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 dC is not regular at x and neither is −dC.
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
1994
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
938070
Link To Document :
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