Preservation of convergences in G(H) through a linear operator.

• Autores: María Carmen de las Obras Loscertales y Nasarre
• Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 10, Nº. 2, 1986, págs. 151-156
• Idioma: español
• Títulos paralelos:
  • Conservación de convergencias en G(H) por un operador lineal.
• Enlaces
  • Texto completo (pdf)
• Resumen

  • 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.