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Aron, Richard M. ; Conejero, Jose A. ; Peris, Alfredo ; Seoane-Sepúlveda, Juan B. | American Mathematical Society | 2007We examine the question of whether there are algebras of functions having special properties. The types of functions studied will be everywhere surjective functions, hypercyclic entire functions, and continuous functions that attain their maximu[...]texto impreso
Aron, Richard M. ; Conejero, Jose A. ; Peris, Alfredo ; Seoane-Sepúlveda, Juan B. | Société mathématique de Belgique | 2010We show that there exists an uncountably generated algebra every non-zero element of which is an everywhere surjective function on C, that is, a function f : C -> C such that, for every non void open set U subset of C, f(U) = C.
