Abstract
Let A0, A1 be positive selfadjoint operators in a Hilbert space, let |·| be the norm in some symmetrically normed ideal of operators, satisjying the majorization condition. In the paper one obtains estimate
and also some of its generalizations. Examples, with A0, A1 differential operators, are considered.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 178, pp. 120–145, 1989.
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Birman, M.S., Solomyak, M.Z. Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations. J Math Sci 61, 2018–2035 (1992). https://doi.org/10.1007/BF01095665
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DOI: https://doi.org/10.1007/BF01095665