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16.—A Note on Adjoint Operators
Published online by Cambridge University Press: 14 February 2012
Extract
In the Hilbertspace with (,) as inner product we consider the linear operator L with domain D(L) and the sesqui-linear form 〈, 〉 defined by
Let the symmetric operator L0 be the restriction of L to D(L0), where
- Type
- Research Article
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- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 3 , 1975 , pp. 215 - 217
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- Copyright © Royal Society of Edinburgh 1975
References
References to Literature
[1]Akhiezer, N. I. and Glazman, I. M., 1966. Theory of Linear Operators in Hilbert Space. New York: Ungar.Google Scholar
[2]Coddington, E. A., 1954. The spectral representation of ordinary self-adjoint differential operators. Ann. Math., 60, 192–211.CrossRefGoogle Scholar
[3]Coddington, E. A., 1954 The spectral matrix and Green's function for singular self-adjoint boundary value problems. Can. Jl Math., 6, 169–185.CrossRefGoogle Scholar
[4]Coddington, E. A., 1958. Generalized resolutions of the identity for symmetric ordinary differential operators. Ann. Math., 68, 378–392.CrossRefGoogle Scholar
[5]Coddington, E. A., 1967. Generalized Sturm-Liouville Theory. Lectures delivered at the Instructional Conference on Differential Equations, Edinburgh.Google Scholar
[6]Coddington, E. A., 1973. Extension theory of formally normal and symmetric subspaces. Mem. Amer. Math. Soc, 134.CrossRefGoogle Scholar
[7]Coddington, E. A.,, 1973. Self-adjoint subspace extensions of non-densely defined symmetric operators. Bull. Amer. Math. Soc., 79, 712–715.CrossRefGoogle Scholar
[8]Dijksma, A. and De Snoo, H. S. V., 1973. Symmetric subspaces and a certain class of eigenvalue problems. Comp. Math., 26, 233–247.Google Scholar
[9]Schechter, M., 1971. Spectra of Partial Differential Operators. Amsterdam and London: North-Holland Publishing.Google Scholar