- Title
- Some generic results on nonattaining functionals
- Creator
- Borwein, Jonathan; Kortezov, Ivaylo
- Relation
- Set-Valued and Variational Analysis: Theory and Applications Vol. 9, Issue 1-2, p. 35-47
- Publisher Link
- http://dx.doi.org/10.1023/A:1011246414064
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2001
- Description
- We prove that (a) in a reflexive space, for any linearly bounded but unbounded closed convex subset the nonsupport functionals are a dense Gδ subset of the polar set, and (b) any nonsemicoercive proper convex lsc [weak*-lsc] function in a [dual] Banach space has a generic [dense Gδ] set of L∞-perturbations which do not attain their infimum. We also characterize the proper convex functions that have inf-nonattaining L∞-perturbations. This results also in a criterion for reflexivity.
- Subject
- Baire category; coercivity; non attaining functionals; convex functions
- Identifier
- http://hdl.handle.net/1959.13/940700
- Identifier
- uon:13073
- Identifier
- ISSN:1877-0533
- Language
- eng
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