Results 211 to 220 of about 38,188 (251)
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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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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, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Self‐adjoint extensions for singular linear Hamiltonian systems
Mathematische Nachrichten, 2011AbstractThis 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
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Kreı̆n-Višik-Birman Self-Adjoint Extension Theory Revisited
2020The 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.
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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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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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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
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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
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Self-adjoint Extensions: Boundary Triplets
2012Chapter 14 is devoted to a powerful approach to the self-adjoint extension theory. It is based on the notion of a boundary triplet for the adjoint of a densely defined symmetric operator T with equal deficiency indices. It is shown that (self-adjoint) extensions of the operator T can be parameterized in terms of (self-adjoint) relations on the boundary
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Self-adjoint extensions of symmetric operators
Rendiconti del Circolo Matematico di Palermo, 1981Let ℋ denote the Hilbert space of analytic functions on the unit disk which are square summable with respect to the usual area measure. In this paper we consider the formal differential exepressons of order two or greater having the form {fx321-1} and {fx321-2} which give rise to symmetric operators in ℋ.
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Self-adjoint Extensions of Symmetric Operators
2016There are numerous works devoted to the theory of extension of symmetric operators, were properties of extended operators are described. Here we refer only to some sources that have influenced our research in this area: [28, 32, 34, 35, 39, 45, 54, 55, 64, 65, 68, 70, 71, 73, 75, 82, 91, 92, 110, 147, 148, 152, 167, 179].
Volodymyr Koshmanenko, Mykola Dudkin
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Self–adjoint Extensions for the Neumann Laplacian and Applications
Acta Mathematica Sinica, English Series, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nazarov, S. A., Sokołowski, J.
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