On the adjoint of a symmetric operator

DOI10.1112/jlms/jdq040zbMath1209.47010OpenAlexW1991671320MaRDI QIDQ3066394

Jussi Behrndt, Matthias Langer

Publication date: 10 January 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdq040

zbMATH Keywords

Hilbert spaceKrein spaceSturm-Liouville operatormultiplication operatoradjointblock operator matrixsymmetric operatorboundary tripletindefinite elliptic operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50)

Related Items (6)

Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ A factorization of extremal extensions with applications to block operator matrices ⋮ Bessel-type operators with an inner singularity ⋮ Restrictions and extensions of semibounded operators ⋮ Phillips symmetric operators and their extensions ⋮ Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary

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