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MR1037767 (91d:47006) 47A30 (47A55 47A60 47B10)
Birman, M. Sh.; Solomyak, M. Z. Estimates for the difference of fractional powers of selfadjoint operators under unbounded perturbations. (Russian) Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 178 (1989), Issled. Linein. Oper. Teorii Funktsii. 18, 120--145, 185; translation in J. Soviet Math. 61 (1992), no. 2, 2018–2035
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