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Displaying similar documents to “Caracterización de la convergencia condicional de las series reales.”

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

M.ª Carmen de las Obras Loscertales y Nasarre (1981)

Revista Matemática Hispanoamericana

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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.