RT Journal Article
T1 Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces
A1 Azagra Rueda, Daniel
A1 Fry, Robb
A1 Montesinos Matilla, Luis Alejandro
AB We show that if Y is a separable subspace of a Banach space X such that both X and the quotient X/Y have C-p-smooth Lipschitz bump functions, and U is a bounded open subset of X, then, for every uniformly continuous function f : Y boolean AND U --> R and every epsilon > 0, there exists a C-p-smooth Lipschitz function F : X --> R such that |F(y)- f( y)| less than or equal to epsilon for every y is an element of Y boolean AND U.
PB America Mathematical Society
SN 1088-6826
YR 2004
FD 2004-10-21
LK https://hdl.handle.net/20.500.14352/49770
UL https://hdl.handle.net/20.500.14352/49770
LA eng
DS Docta Complutense
RD 28 abr 2024