Symmetric subspaces related to certain eigenvalue problems

A. Dijksma; H. S. V. de Snoo

Displaying similar documents to “Symmetric subspaces related to certain eigenvalue problems”

A study of an operator arising in the theory of circular plates

Leopold Herrmann (1988)

Aplikace matematiky

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The operator $L_{0} : D_{L_{0}} \subset H \to H$ , $L_{0} u = \frac{1}{r} \frac{d}{d r} \{r \frac{d}{d r} [\frac{1}{r} \frac{d}{d r} (r \frac{d u}{d r})]\}$ , $D_{L_{0}} = {u \in C^{4} ([0, R]), u^{'} (0) = u^{''''} (0) = 0, u (R) = u^{'} (R) = 0}$ , $H = L_{2, r} (0, R)$ is shown to be essentially self-adjoint, positive definite with a compact resolvent. The conditions on $L_{0}$ (in fact, on a general symmetric operator) are given so as to justify the application of the Fourier method for solving the problems of the types $L_{0} u = g$ and $u_{t t} + L_{0} u = g$ , respectively.

On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space.

El-Sabbagh, A.A. (1997)

International Journal of Mathematics and Mathematical Sciences

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A characterization of formally symmetric unbounded operators.

Jocić, Danko (1989)

Publications de l'Institut Mathématique. Nouvelle Série

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Finite-dimensional perturbations of spectral problems and variational approximation methods for eigenvalue problems. Part I. Finite-dimensional perturbations

N. Aronszajn, R. Brown (1970)

Studia Mathematica

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Proper subspaces and compatibility

Esteban Andruchow, Eduardo Chiumiento, María Eugenia Di Iorio y Lucero (2015)

Studia Mathematica

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Let 𝓔 be a Banach space contained in a Hilbert space 𝓛. Assume that the inclusion is continuous with dense range. Following the terminology of Gohberg and Zambickiĭ, we say that a bounded operator on 𝓔 is a proper operator if it admits an adjoint with respect to the inner product of 𝓛. A proper operator which is self-adjoint with respect to the inner product of 𝓛 is called symmetrizable. By a proper subspace 𝓢 we mean a closed subspace of 𝓔 which is the range of a proper projection....

Spectral approximation of positive operators by iteration subspace method

Andrzej Pokrzywa (1984)

Aplikace matematiky

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The iteration subspace method for approximating a few points of the spectrum of a positive linear bounded operator is studied. The behaviour of eigenvalues and eigenvectors of the operators $A_{n}$ arising by this method and their dependence on the initial subspace are described. An application of the Schmidt orthogonalization process for approximate computation of eigenelements of operators $A_{n}$ is also considered.

The conjugate of the product of operators

J. van Casteren, Seymour Goldberg (1970)

Studia Mathematica

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