Symmetric operators with twice continuously differentiable spectral functions

Gilbert, Richard C.

doi:10.1090/S0002-9939-1969-0253080-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Symmetric operators with twice continuously differentiable spectral functions
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by Richard C. Gilbert

Proc. Amer. Math. Soc. 23 (1969), 347-355

DOI: https://doi.org/10.1090/S0002-9939-1969-0253080-3

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References

N. I. Achieser and I. M. Glasmann, Theorie der linearen Operatoren im Hilbert-Raum, Akademie-Verlag, Berlin, 1954 (German). MR 0066560
Richard C. Gilbert, Symmetric operators with singular spectral functions, Proc. Amer. Math. Soc. 21 (1969), 43–49. MR 236736, DOI 10.1090/S0002-9939-1969-0236736-8
M. Neumark, Spectral functions of a symmetric operator, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 4 (1940), 277–318 (Russian, with English summary). MR 0002714