Displaying similar documents to “Compacidad sucesional en G(H) y P(H).”

Convergencias en G(H).

M.ª Carmen de las Obras Loscertales y Nasarre (1980)

Revista Matemática Hispanoamericana

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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)...

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.

Sobre relativización de convergencias en G(H).

M.ª Carmen de las Obras Loscertales y Nasarre (1984)

Stochastica

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Given a real separable Hilbert space H, G(H) denotes the Geometry of the closed linear subspaces of H, S = {E | n belonging to N} a sequence of G(H) and [E] the closed linear hull of E. The weak, strong and other convergences in G(H) were defined and characterized in previous papers. Now we study the convergence of sequences {E ∩ F | n belonging to N} when {E} is a convergent sequence and F is a subspace of G(H), and we show that these convergences hold, if this intersection exists....

Nuevas convergencias en G(H).

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

Stochastica

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Two new convergences of closed linear subspaces in the real separable Hilbert space are defined. These are the uniform strong convergence and the simultaneously strong and weak convergence to a single limit. Both convergences are characterized and it is shown that they verify the three axioms of Fréchet.

Medidas de centralización multidimensionales (ley fuerte de los grandes números).

Juan Antonio Cuesta Albertos (1984)

Trabajos de Estadística e Investigación Operativa

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En este trabajo definimos una medida de centralización multidimensional para vectores aleatorios como el valor del parámetro para el que se alcanza el mínimo de las integrales de ciertas funciones. Estudiamos su relación con otras medidas de centralización multidimensionales conocidas. Finalizamos demostrando la Ley Fuerte de los Grandes Números, tanto para la medida de centralización definida como para la de dispersión asociada.