RT Journal Article
T1 Algebrability of the set of everywhere surjective functions on C
A1 Aron, Richard M.
A1 Seoane-Sepúlveda, Juan B.
AB We show that the set L of complex-valued everywhere surjective functions on C is aJgebrable. Specifically, L contains an infinitely generated algebra every non-zero element of which is everywhere surjective. We also give a technique to construct, for every n is an element of N, n algebraically independent everywhere surjective functions, f(1), f(2),..., f(n), so that for every non-constant polynomial P is an element of C[z(1), z(2),...,z(n)], P(f(1), f(2),...f(n)) is also everywhere surjective.
PB Belgian Mathematical Soc Triomphe
SN 1370-1444
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50466
UL https://hdl.handle.net/20.500.14352/50466
LA eng
NO R. M. Aron, V. I. Gurariy, and J. B. Seoane. Lineability and spaceability of sets of functions on R. Proc. A.M.S.,133 (2005) 795-803.B. Gelbaum, and J. Olmsted. Counterexamples in analysis.Holden-Day, (1964).H. Lebesgue. Le¸cons sur lintegration. Gauthier-Willars (1904).
NO Dedicated to the memory of our great friend and colleague, Vladimir Gurariy.
DS Docta Complutense
RD 9 may 2024