To the theory of infinitely differentiable semigroups of operators
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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