On semibounded differential operators
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- by Harry Hochstadt
- Proc. Amer. Math. Soc. 35 (1972), 298-300
- DOI: https://doi.org/10.1090/S0002-9939-1972-0308858-4
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Abstract:
It is shown that regular ordinary differential operators have a semibounded spectrum. The proof requires fewer prerequisites than other proofs found in the literature and also yields estimates on the lower bound of the spectrum.References
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part II: Spectral theory. Self adjoint operators in Hilbert space, Interscience Publishers John Wiley & Sons, New York-London, 1963. With the assistance of William G. Bade and Robert G. Bartle. MR 0188745 M. A. Naĭmark, Linear differential operators. Vol. II, GITTL, Moscow, 1954; English transl., Ungar, New York, 1967, pp. 93 ff. MR 16, 702; MR 41 #7485.
- Harold Widom, Lectures on integral equations, Van Nostrand Mathematical Studies, No. 17, Van Nostrand Reinhold Co., New York-Toronto-London, 1969. Notes by David Drazin and Anthony J. Tromba. MR 0243299
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 298-300
- MSC: Primary 47E05; Secondary 34B25
- DOI: https://doi.org/10.1090/S0002-9939-1972-0308858-4
- MathSciNet review: 0308858