Results 221 to 230 of about 38,188 (251)
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Self-adjoint bound-preserving extensions of semibounded hermitian operators
Journal of Soviet Mathematics, 1992See the review in Zbl 0657.47030.
Kuzhel', A. V., Rotkevich, Eh.
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Self-adjoint extensions of symmetric operators
1980In Sections 5.4 and 5.5 we have already learned that certain symmetric operators (the semi-bounded and continuously invertible ones) possess self-adjoint extensions. The question of whether all (or which) symmetric operators have self-adjoint extensions could not be answered there.
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Self-Adjoint Extensions of Symmetric Operators
2018Self-adjointness of certain operators is crucial in many applications (e.g. in quantum physics or in partial differential equations). However, operators which naturally occur in many problems turn out to be symmetric, but not necessarily self-adjoint. It is for that reason that the problem of existence and classification of self-adjoint extensions of ...
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Self-adjoint extensions of commuting Hermite operators
Ukrainian Mathematical Journal, 1990It is proved that it is possible to commuting self-adjoint operators two formally commuting Hermite operators, one of which is self-adjoint after closure and the other has equal defect numbers. The operators act in a Hilbert space constructed from the tensor product of two Hilbert spaces by completion with respect to a norm defined by a positive ...
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Classical Self-Adjoint Extension Schemes
2022Matteo Gallone, Alessandro Michelangeli
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Self-adjoint subspace extensions satisfying λ-linear boundary conditions
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981SynopsisLet S be a symmetric subspace in a Hilbert space ℋ2 with finite equal deficiency indices and let S* be its adjoint subspace in ℋ2. We consider those self-adjoint subspace extensions ℋ of S into some larger Hilbert spaces ℋ2 = (ℋ × ℂm)2 which satisfy H⋂({0} × ℂm)2 = {{0,0}}. These extensions H are characterized in terms of inhomogeneous boundary
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Self-adjoint extensions of restricitons
2008We provide a simple recipe for obtaining all self-adjoint extensions, together with their resolvent, of the symmetric operator $S$ obtained by restricting the self-adjoint operator $A:\D(A)\subseteq\H\to\H$ to the dense, closed with respect to the graph norm, subspace $\N\subset \D(A)$. Neither the knowledge of $S^*$ nor of the deficiency spaces of $S$
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On Self-adjoint Extensions of Symmetric Operators
2015For a closed symmetric operator in a Hilbert space and a real regular point of this operator we obtain two ‘natural’ self-adjoint extensions, in terms of the von Neumann method. One of these extensions is used in order to describe the Friedrichs extension of a positive symmetric operator in the context of the von Neumann theory.
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Self-Healing Superwetting Surfaces, Their Fabrications, and Properties
Chemical Reviews, 2023Hua Zhou, Tong Lin
exaly