RT Journal Article
T1 C1-fine approximation of functions on Banach spaces with unconditional basis
A1 Azagra Rueda, Daniel
A1 Gómez Gil, Javier
A1 Fry, Robb
A1 Lovo, Mauricio
A1 Jaramillo Aguado, Jesús Ángel
AB We show that if X is a Banach space having an unconditional basis and a Cp-smooth Lipschitz bump function, then for every C1-smooth function f from X into a Banach space Y, and for every continuous function ε : X → (0, ∞), there exists a Cp-smooth function g : X → Y such that ‖f − g‖ ≤ ε and ‖f′ − g′‖ ≤ ε.
PB Oxford University Press
SN 0033-5606
YR 2005
FD 2005-03
LK https://hdl.handle.net/20.500.14352/49596
UL https://hdl.handle.net/20.500.14352/49596
LA eng
DS Docta Complutense
RD 8 abr 2025