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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 107, Pages 213–221 (Mi znsl3429)  
Short communications

On the difference $f(B)-f(A)$ for unbounded self-adjoint operators in the perturbation theory

J. B. Farforovskaja
Full-text PDF (418 kB)
Abstract: The main result of the paper is the estimate
$$ \|f(B)-f(A)\|\le c\biggl[\log\biggl(1+\frac1{\|B-A\|}\biggr)+7\biggr]^2\|B-A\|, $$
obtained for Lipschitz functions, with some conditions of the growth of the functions at infinity.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 3, Pages 429–434
DOI: https://doi.org/10.1007/BF01839619
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: J. B. Farforovskaja, “On the difference $f(B)-f(A)$ for unbounded self-adjoint operators in the perturbation theory”, Investigations on linear operators and function theory. Part X, Zap. Nauchn. Sem. LOMI, 107, "Nauka", Leningrad. Otdel., Leningrad, 1982, 213–221; J. Soviet Math., 36:3 (1987), 429–434
Citation in format AMSBIB
\Bibitem{Far82}
\by J.~B.~Farforovskaja
\paper On the difference $f(B)-f(A)$ for unbounded self-adjoint operators in the perturbation theory
\inbook Investigations on linear operators and function theory. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 107
\pages 213--221
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3429}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=676163}
\zmath{https://zbmath.org/?q=an:0503.47023|0612.47022}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 3
\pages 429--434
\crossref{https://doi.org/10.1007/BF01839619}
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