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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 12, Pages 14–21
(Mi ivm6020)
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This article is cited in 8 scientific papers (total in 8 papers)
On the Bohr–Favard inequalities for operators
A. G. Baskakov, K. A. Sintyaeva Chair of Mathematical Methods of Operational Research, Voronezh State University, Voronezh, Russia
Abstract:
In this paper we estimate the resolvent of a generator of an isometric group of operators. In particular, we establish unimprovable estimates for the integral of functions that are holomorphic in a half-plane and bounded on the entire real axis. We obtain applications of the perturbation theory for linear operators.
Keywords:
resolvent, generator of isometric group of operators, perturbation theory for linear operators.
Received: 18.09.2007
Citation:
A. G. Baskakov, K. A. Sintyaeva, “On the Bohr–Favard inequalities for operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 12, 14–21; Russian Math. (Iz. VUZ), 53:12 (2009), 11–17
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https://www.mathnet.ru/eng/ivm6020 https://www.mathnet.ru/eng/ivm/y2009/i12/p14
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Abstract page: | 731 | Full-text PDF : | 138 | References: | 56 | First page: | 15 |
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