%0 Journal Article
%A Llavona, José G.
%A Joaquín M., Gutiérrez
%A González, Manuel
%T Polynomial continuity on l(1)
%D 1997
%@ 0002-9939
%U https://hdl.handle.net/20.500.14352/57503
%X 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.
%~