RT Journal Article
T1 Polynomial topologies on Banach spaces
A1 Garrido, M. Isabel
A1 Jaramillo Aguado, Jesús Ángel
A1 Llavona, José G.
AB 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).
PB Elsevier Science
SN 0166-8641
YR 2005
FD 2005-06-05
LK https://hdl.handle.net/20.500.14352/49982
UL https://hdl.handle.net/20.500.14352/49982
LA eng
NO DGES (Spain)
DS Docta Complutense
RD 18 abr 2025