Geodesic
On the Bohr--Favard inequalities for operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 14-21

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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. 
@article{IVM_2009_12_a1,
     author = {A. G. Baskakov and K. A. Sintyaeva},
     title = {On the {Bohr--Favard} inequalities for operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {14--21},
     publisher = {mathdoc},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_12_a1/}
}
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A. G. Baskakov; K. A. Sintyaeva. On the Bohr--Favard inequalities for operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 14-21. http://geodesic.mathdoc.fr/item/IVM_2009_12_a1/