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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
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Intrinsically Self-Healing Polymers: From Mechanistic Insight to Current Challenges
Chemical Reviews, 2023Bingrui Li, Peng-Fei Cao, Tomonori Saito
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Self-Healing Polymers for Electronics and Energy Devices
Chemical Reviews, 2023Yao Zhou, Li Li, Qi Li
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