RT Journal Article
T1 Construcción de la topología de la convergencia débil en el espacio de Hilbert
A1 Martín Peinador, Elena
AB Weak sequential convergence defines a topology by the requirement that a set O is open if xn⇀x and x∈O implies almost every xn∈O. This topology, Tc, is considered for a real Hilbert (separable) space. A form for the neighborhoods of the origin is given and Tc is compared with the weak topology. Tc is the finest topology that induces the same topology in bounded sets as the weak topology. Tc is an S-topology for S the set of pre-compact sets. The relation with other S-topologies is also given
PB Real Sociedad Matemática Española;Consejo Superior de Investigaciones Científicas. Instituto "Jorge Juan" de Matemáticas
SN 0373-0999
YR 1974
FD 1974
LK https://hdl.handle.net/20.500.14352/64850
UL https://hdl.handle.net/20.500.14352/64850
LA spa
DS Docta Complutense
RD 6 nov 2025