%0 Journal Article
%A Garrido, M. Isabel
%A Jaramillo Aguado, Jesús Ángel
%A Llavona, José G.
%T Polynomial topologies on Banach spaces
%D 2005
%@ 0166-8641
%U https://hdl.handle.net/20.500.14352/49982
%X On every real Banach space X we introduce a locally convex topology tau(p), canonically associated to the weak-polynomial topology w(P). It is proved that tau(p) is the finest locally convex topology on X which is coarser than w(P). Furthermore, the convergence of sequences is considered, and sufficient conditions on X are obtained under which the convergent sequences for w(P) and for tau(P) either coincide with the weakly convergent sequences (when X has the Dunford-Pettis property) or coincide with the norm-convergent sequences (when X has nontrivial type).
%~