Extensions of symmetric relations

DOI10.1007/BF01099564zbMath0419.47009MaRDI QIDQ1132366

V. M. Bruk

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

perturbed extensionsymmetric relations

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Dilations, extensions, compressions of linear operators (47A20) General theory of linear operators (47A99)

Related Items (6)

On compressions of self-adjoint extensions of a symmetric linear relation ⋮ Spectral and pseudospectral functions of various dimensions for symmetric systems ⋮ On compressions of self-adjoint extensions of a symmetric linear relation with unequal deficiency indices ⋮ Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index ⋮ On couplings of symmetric operators with possibly unequal and infinite deficiency indices ⋮ Unnamed Item

Cites Work

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• Operational calculus of linear relations
• Self-adjoint extensions of symmetric subspaces
• Some questions of the spectral theory of differential equations of elliptic type in the space of vector functions on a finite interval
• Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient

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