RT Journal Article
T1 Polynomial continuity on l(1)
A1 Llavona, José G.
A1 Joaquín M., Gutiérrez
A1 González, Manuel
AB A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. A Banach space X has property(RP) if given two bounded sequences (u(j)), (v(j)) subset of X; we have that Q(u(j)) - Q(v(j)) --> 0 for every polynomial Q on X whenever P(u(j) - v(j)) --> 0 for every polynomial P on XI i.e., the restriction of every polynomial on X to each bounded set is uniformly sequentially continuous for the weak polynomial topology. We show that property (RP) does not imply that every scalar valued polynomial on X must be polynomially continuous.
PB American Mathematical Society
SN 0002-9939
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/57503
UL https://hdl.handle.net/20.500.14352/57503
LA eng
NO DGICYT
DS Docta Complutense
RD 27 abr 2025