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Botelho, G. ; Cariello, D. ; Favaro, V.V. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. | Oxford University Press | 2014-09In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the maximum only at one point. Inserting a topological flavor to th[...]texto impreso
Botelho, G. ; Favaro, V.V. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Elsevier Science | 2012In this short note we prove the result stated in the title: that is, for every p > 0 there exists an infinite dimensional closed linear sub-space of L-p[0, 1] every nonzero element of which does not belong to boolean OR(q> p) L-q[0, 1]. This an[...]texto impreso
We introduce the class of everywhere like functions, which helps us to recover some known classes (such as that of everywhere surjective ones). We also study the algebraic genericity of this new class together with the class of fractal functions.
