RT journal article
T1 Biduality and density in Lipschitz function spaces
A1 Jiménez Vargas, Antonio
A1 Sepulcre Martínez, Juan Matías
A1 Villegas Vallecillos, Moisés
A2 Matemáticas
AB For pointed compact metric spaces (X, d), we address the biduality problem as to when thespace of Lipschitz functions Lip0(X, d) is isometrically isomorphic to the bidual of the space of littleLipschitz function lip0(X, d), and show that this is the case whenever the closed unit ball of lip0(X, d) isdense in the closed unit ball of Lip0(X, d) with respect to the topology of pointwise convergence. Thenwe apply our density criterion to prove in an alternate way the real version of a classical result whichasserts that Lip0(X, d ) is isometrically isomorphic to lip0(X, d )   for any   2 (0, 1).
PB Mathematica Scandinavica
SN 0025-5521
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35427
UL http://hdl.handle.net/10498/35427
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026