L y L*-convergencias en G(H).

• Autores: María Carmen de las Obras Loscertales y Nasarre
• Localización: Revista matemática hispanoamericana, ISSN 0373-0999, Vol. 41, Nº. 3-4, 1981, págs. 97-101
• Idioma: español
• Títulos paralelos:
  • L- and L*-convergences in G(H).
• Enlaces
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• Resumen

  • 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.