Convergences in G(H).

M.ª Carmen de las Obras Loscertales y Nasarre

Revista Matemática Hispanoamericana (1980)

  • Volume: 40, Issue: 5-6, page 177-192
  • ISSN: 0373-0999


Given a real separable Hilbert space H, we denote with G(H) the geometry of closed lineal subspaces of H.The weak and strong convergence of sequences of subspaces defined in (8) are characterized.If {E(n) | n ∈ N} is a strong or weak convergent sequence there exists a finite dimensional sequence with the same limit.The strong convergence is interpreted in terms of nbd-finite family, so that a sequence {E(n) | n ∈ N} is a nbd-finite family if and only if E(n) → 0.

How to cite


Obras Loscertales y Nasarre, M.ª Carmen de las. "Convergencias en G(H).." Revista Matemática Hispanoamericana 40.5-6 (1980): 177-192. <>.

author = {Obras Loscertales y Nasarre, M.ª Carmen de las},
journal = {Revista Matemática Hispanoamericana},
keywords = {Convergencia; Espacios de Hilbert; Subespacios},
language = {spa},
number = {5-6},
pages = {177-192},
title = {Convergencias en G(H).},
url = {},
volume = {40},
year = {1980},

AU - Obras Loscertales y Nasarre, M.ª Carmen de las
TI - Convergencias en G(H).
JO - Revista Matemática Hispanoamericana
PY - 1980
VL - 40
IS - 5-6
SP - 177
EP - 192
LA - spa
KW - Convergencia; Espacios de Hilbert; Subespacios
UR -
ER -

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