Smooth functions with uncountably many zeros

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URI: http://hdl.handle.net/10498/35523

ISSN: 1370-1444

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Author/s
Conejero, J.A.; Muñoz-Fernández, G.A.; Murillo Arcila, MarinaAuthority UCA; Seoane-Sepúlveda, J.B.
Date
2015
Department
Matemáticas
Source
Bull. Belg. Math. Soc. Simon-Stevin 22 (2015), 1–5.
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.
Subjects
lineability; spaceability; algebrability; zero set
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