Displaying similar documents to “Imagen de un sistema ortogonal completo de rayos por un operador lineal acotado.”

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)...

Regresión ortogonal y componentes principales.

J. Alberto Martínez Arnáiz (1994)

Qüestiió

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In this work the Principal Components Analysis is presented, starting from the orthogonal regression plane. On this basis, the data reduction technique is exposed in the three-dimensional case. Finally, the correlation matrix analysis is considered, as well as its extension to p dimensions.

Geometría de gramianos en el espacio de Hilbert.

Pedro J. Burillo López, Joaquín Aguilella Almer (1981)

Stochastica

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The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert space. In Parts II and III a generalization is given of the Pythagorean theorem and triangular inequality for finite vector families.

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.