Open Access
march 2015 Smooth functions with uncountably many zeros
J. A. Conejero, G. A. Muñoz-Fernández, M. Murillo Arcila, J. B. Seoane-Sepúlveda
Bull. Belg. Math. Soc. Simon Stevin 22(1): 71-75 (march 2015). DOI: 10.36045/bbms/1426856859

Abstract

In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al.

Citation

Download Citation

J. A. Conejero. G. A. Muñoz-Fernández. M. Murillo Arcila. J. B. Seoane-Sepúlveda. "Smooth functions with uncountably many zeros." Bull. Belg. Math. Soc. Simon Stevin 22 (1) 71 - 75, march 2015. https://doi.org/10.36045/bbms/1426856859

Information

Published: march 2015
First available in Project Euclid: 20 March 2015

zbMATH: 1312.26023
MathSciNet: MR3325722
Digital Object Identifier: 10.36045/bbms/1426856859

Subjects:
Primary: 15A03 , 26B05

Keywords: algebrability , lineability , spaceability , Zero set

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 1 • march 2015
Back to Top