Two new convergences of closed linear subspaces in the real separable Hilbert space are defined. These are the uniform strong convergence and the simultaneously strong and weak convergence to a single limit. Both convergences are characterized and it is shown that they verify the three axioms of Fréchet.
@article{urn:eudml:doc:38967,
title = {Nuevas convergencias en G(H).},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {169-176},
zbl = {0493.46026},
mrnumber = {MR0659248},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38967}
}
Obras Loscertales y Nasarre, M.ª Carmen de las. Nuevas convergencias en G(H).. Stochastica, Tome 5 (1981) pp. 169-176. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38967/