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On the set of functions that vanish at infinity and have a unique maximum.
- Source :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Apr2024, Vol. 118 Issue 2, p1-9, 9p
- Publication Year :
- 2024
-
Abstract
- In this paper, we show that the set of continuous functions defined on R n that approach zero at infinity and attain their maximum at precisely one (and only one) point is n-lineable but not (n + 2) -lineable. This result complements some recent published works on an open question originally posed by Vladimir I. Gurariy (1935–2005) in 2003. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15787303
- Volume :
- 118
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM
- Publication Type :
- Periodical
- Accession number :
- 176259560
- Full Text :
- https://doi.org/10.1007/s13398-024-01573-4