Estimates of operator moduli of continuity |
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| Authors: | A.B. Aleksandrov |
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| Affiliation: | a St-Petersburg Branch, Steklov Institute of Mathematics, Fontanka 27, 191023 St-Petersburg, Russia
b Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA |
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| Abstract: | In Aleksandrov and Peller (2010) [2] we obtained general estimates of the operator moduli of continuity of functions on the real line. In this paper we improve the estimates obtained in Aleksandrov and Peller (2010) [2] for certain special classes of functions. In particular, we improve estimates of Kato (1973) [18] and show that |
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| Keywords: | Operator modulus of continuity Operator Lipschitz function Self-adjoint operator Commutators |
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