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

Leopold Herrmann

Displaying similar documents to “A study of an operator arising in the theory of circular plates”

Self-adjoint extensions by additive perturbations

Andrea Posilicano (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $A_{𝒩}$ be the symmetric operator given by the restriction of $A$ to $𝒩$ , where $A$ is a self-adjoint operator on the Hilbert space $ℋ$ and $𝒩$ is a linear dense set which is closed with respect to the graph norm on $D (A)$ , the operator domain of $A$ . We show that any self-adjoint extension $A_{Θ}$ of $A_{𝒩}$ such that $D (A_{Θ}) \cap D (A) = 𝒩$ can be additively decomposed by the sum $A_{Θ} = \bar{A} + T_{Θ}$ , where both the operators $\bar{A}$ and $T_{Θ}$ take values in the strong dual of $D (A)$ . The operator $\bar{A}$ is the closed extension of $A$ to the whole $ℋ$ whereas $T_{Θ}$ is explicitly...

Spectral properties of a certain class of Carleman operators

S. M. Bahri (2007)

Archivum Mathematicum

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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space $L^{2} (X, μ)$ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ and then using the Stieltjes inversion formula.

On quasiparabolical differential equations of higher order

Igor Bock (1976)

Mathematica Slovaca

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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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Essential self-adjointness of symmetric linear relations associated to first order systems

Matthias Lesch (2000)

Journées équations aux dérivées partielles

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The purpose of this note is to present several criteria for essential self-adjointness. The method is based on ideas due to Shubin. This note is divided into two parts. The first part deals with symmetric first order systems on the line in the most general setting. Such a symmetric first order system of differential equations gives rise naturally to a symmetric linear relation in a Hilbert space. In this case even regularity is nontrivial. We will announce a regularity result and discuss...