- Title
- A note on regularity of sets and of distance functions in Banach space
- Creator
- Borwein, Jonathan M.; Fabian, Marian
- Relation
- Journal of Mathematical Analysis and Applications Vol. 182, Issue 2, p. 566-570
- Publisher Link
- http://dx.doi.org/10.1006/jmaa.1994.1104
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 1994
- Description
- 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.
- Subject
- Banach spaces; sets; distance functions
- Identifier
- http://hdl.handle.net/1959.13/940894
- Identifier
- uon:13120
- Identifier
- ISSN:0022-247X
- Language
- eng
- Reviewed
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