Garrido, M. IsabelJaramillo Aguado, Jesús ÁngelLlavona, José G.2023-06-202023-06-202005-06-050166-864110.1016/j.topol.2005.01.015https://hdl.handle.net/20.500.14352/49982On 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).engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0166864105000167http://www.sciencedirect.comrestricted access515.1Banach spacePolynomial topologiesWeakly convergent sequencesDunford–Pettis propertyTopología1210 Topología