L- and L*-convergences in G(H).

M.ª Carmen de las Obras Loscertales y Nasarre

Revista Matemática Hispanoamericana (1981)

  • Volume: 41, Issue: 3-4, page 97-101
  • ISSN: 0373-0999

Abstract

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Given a real separable Hilbert space H, we denote with G(H) the geometry of closed linear subspaces of H.The strong convergence of sequences of subspaces is shown to be a L*-convergence and the weak convergence a L-convergence.The smallest L*-convergence containing the weak convergence is found, and the orthogonal image of the strong convergence, which is also a L*-convergence, is defined.

How to cite

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Obras Loscertales y Nasarre, M.ª Carmen de las. "L y L*-convergencias en G(H).." Revista Matemática Hispanoamericana 41.3-4 (1981): 97-101. <http://eudml.org/doc/39787>.

@article{ObrasLoscertalesyNasarre1981,
author = {Obras Loscertales y Nasarre, M.ª Carmen de las},
journal = {Revista Matemática Hispanoamericana},
keywords = {Espacio de Hilbert separable real; Geometría de subespacios cerrados; Convergencia; geometry of closed linear subspaces; strong convergence of sequences of subspaces; weak convergence},
language = {spa},
number = {3-4},
pages = {97-101},
title = {L y L*-convergencias en G(H).},
url = {http://eudml.org/doc/39787},
volume = {41},
year = {1981},
}

TY - JOUR
AU - Obras Loscertales y Nasarre, M.ª Carmen de las
TI - L y L*-convergencias en G(H).
JO - Revista Matemática Hispanoamericana
PY - 1981
VL - 41
IS - 3-4
SP - 97
EP - 101
LA - spa
KW - Espacio de Hilbert separable real; Geometría de subespacios cerrados; Convergencia; geometry of closed linear subspaces; strong convergence of sequences of subspaces; weak convergence
UR - http://eudml.org/doc/39787
ER -

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