Given a real separable Hilbert space H, we denote with S = {E(n) | n belongs to N} a sequence of closed linear subspaces of H.
In previous papers, the strong, weak, a--> and b--> convergences are defined and characterized. Now, given a sequence S with strong, weak, a--> or b--> limit, and a linear operator of H, A, the sequence AS is studied.
@article{urn:eudml:doc:38950,
title = {Conservaci\'on de convergencias en G(H) por un operador lineal.},
journal = {Stochastica},
volume = {10},
year = {1986},
pages = {151-156},
zbl = {0635.46020},
mrnumber = {MR0925779},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38950}
}
Obras Loscertales y Nasarre, M.ª Carmen de las. Conservación de convergencias en G(H) por un operador lineal.. Stochastica, Tome 10 (1986) pp. 151-156. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38950/