RT Journal Article
T1 Infinite dimensional Banach spaces of functions with nonlinear properties
A1 García, D.
A1 Grecu, B.C.
A1 Maestre, Manuel
A1 Seoane Sepúlveda, Juan Benigno
AB The aim of this paper is to show that there exist infinite dimensional Banach spaces of functions that, except for 0, satisfy properties that apparently should be destroyed by the linear combination of two of them. Three of these spaces are: a Banach space of differentiable functions on R(n) failing the Denjoy-Clarkson property; a Banach space of non Riemann integrable bounded functions, but with antiderivative at each point of an interval; a Banach space of infinitely differentiable functions that vanish at infinity and are not the Fourier transform of any Lebesgue integrable function.
PB Wiley-Blackwell
SN 0025-584X
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/43664
UL https://hdl.handle.net/20.500.14352/43664
LA eng
NO MEC and FEDER
NO Marie Curie Intra European Fellowship
NO MEC and FEDER
DS Docta Complutense
RD 20 abr 2025