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WEAK COMPACTNESS OF SUBLEVEL SETS.
- Source :
-
Proceedings of the American Mathematical Society . Aug2017, Vol. 145 Issue 8, p3377-3379. 3p. - Publication Year :
- 2017
-
Abstract
- In this paper we provide a short proof of the fact that if X is a Banach space and f : X → ℝ υ {∞} is a proper function such that f -- x* attains its minimum for every x* ∈ X*, then all the sublevels of f are relatively weakly compact. This result has many applications [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 145
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 123176570
- Full Text :
- https://doi.org/10.1090/proc/13466