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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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To the theory of infinitely differentiable semigroups of operators
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by M. S. Bichegkuev
Translated by: S. Kislyakov
St. Petersburg Math. J. 22 (2011), 175-182
DOI: https://doi.org/10.1090/S1061-0022-2011-01137-9
Published electronically: February 8, 2011
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Abstract:

Given a linear relation (multivalued linear operator) with certain growth restrictions on the resolvent, an infinitely differentiable semigroup of operators is constructed. It is shown that the initial linear relation is a generator of this semigroup. The results obtained are intimately related to certain results in the monograph “Functional analysis and semi-groups” by Hille and Phillips.
References
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Bibliographic Information
  • M. S. Bichegkuev
  • Affiliation: K. Khetagurov North Osetian State University, 46 Vatutina Street, Vladikavkaz 362025, RSO-Alaniya, Russia
  • Email: bichegkuev@yandex.ru
  • Received by editor(s): April 6, 2009
  • Published electronically: February 8, 2011
  • Additional Notes: Supported by RFBR (grant no. 07-01-00131)
  • © Copyright 2011 American Mathematical Society
  • Journal: St. Petersburg Math. J. 22 (2011), 175-182
  • MSC (2010): Primary 47A56
  • DOI: https://doi.org/10.1090/S1061-0022-2011-01137-9
  • MathSciNet review: 2668123