Self-adjoint subspace extensions of nondensely defined symmetric operators

DOI10.1016/0001-8708(74)90034-6zbMath0307.47028OpenAlexW2056134434MaRDI QIDQ1218138

Earl A. Coddington

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(74)90034-6

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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Cites Work

• Operational calculus of linear relations
• The spectral representation of ordinary self-adjoint differential operators
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Selfadjoint subspace extensions of nondensely defined symmetric operators
• Eigenfunction expansions for nondensely defined operators generated by symmetric ordinary differential expressions
• On the projection of a selfadjoint operator
• Extension theory of formally normal and symmetric subspaces