Results 161 to 170 of about 73,171 (204)

Self-adjoint extensions

1997
Abstract The main results of the earlier chapter can be applied to those symmetric operators which are restrictions of self-adjoint operators. Therefore it is of interest to know which symmetric operators admit a self-adjoint extension. We shall now deal with this question. In this context let H be a complex Hilbert space.
Reinhold Meise, Dietmar Vogt
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Fractional Sturm–Liouville Equations: Self-Adjoint Extensions

Complex Analysis and Operator Theory, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niyaz Tokmagambetov, Berikbol T. Torebek
openaire   +2 more sources

Quasi-self-adjoint Extensions

2011
In this chapter we consider quasi-self-adjoint extensions of, generally speaking, non-densely defined symmetric operators and establish analogues of von Neumann’s and \({\rm Krasnoselski\breve{i}^\prime s}\) formulas in cases of direct and indirect decompositions of their domains.
Yuri Arlinskii   +2 more
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Non-Self-Adjoint Extensions of Symmetric Operators

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Self‐adjoint extensions for singular linear Hamiltonian systems

Mathematische Nachrichten, 2011
AbstractThis paper is concerned with self‐adjoint extensions for singular linear Hamiltonian systems. The domain of the closure of the corresponding minimal Hamiltonian operator is described by the properties of its elements at the endpoints of the discussed interval, and two different decompositions of the domain of the corresponding maximal ...
Sun, Huaqing, Shi, Yuming
openaire   +2 more sources

Kreı̆n-Višik-Birman Self-Adjoint Extension Theory Revisited

2020
The core results of the Krein-Visik-Birman theory of self-adjoint extensions of semi-bounded symmetric operators are reproduced, both in their original and in a more modern formulation, with a comprehensive discussion that includes missing details, elucidative steps, and intermediate results of independent interest.
Gallone M., Michelangeli A., Ottolini A.
openaire   +2 more sources

Constructing quantum observables and self-adjoint extensions of symmetric operators. III. Self-adjoint boundary conditions

Russian Physics Journal, 2008
Let \(\widehat f^{(0)}\) be the initial symmetric operator with a given self-adjoint (SA) differential expression \(\breve f\), associated with \(L^2(a,b)\), and \(\widehat f^*= [\widehat f^{(0)}]^+\) be its adjoint with the domain \(D_*\). Any \(\psi_*\in D_*\) is reepresented as \(\psi_*= \psi+\psi_++ \psi_-\); \(\psi\in D_f\), \(\psi_+\in D_ ...
Voronov, B. L.   +2 more
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Singular Rank One Perturbations of Self-Adjoint Operators and Krein Theory of Self-Adjoint Extensions

Potential Analysis, 1999
The article is a supplement of a result by \textit{F. Gesztesy} and \textit{B. Simon} [J. Funct. Anal. 128, No. 1, 245-252 (1995; Zbl 0828.47009)]. They showed the existence of the strong resolvent limit \(A_{\infty,g}\) obtained from \(A_{\alpha,g}= A+\alpha\langle.,g\rangle g\) as \(\alpha\to\infty\), where \(A\) is a self-adjoint positive operator ...
Albeverio, Sergio   +1 more
openaire   +1 more source

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