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Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 174–190
DOI: https://doi.org/10.4213/mzm10285 (Mi mzm10285) 		 
This article is cited in 32 scientific papers (total in 32 papers)

Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces

A. G. Baskakov

Voronezh State University
Full-text PDF (576 kB) Citations (32)
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DOI: https://doi.org/10.4213/mzm10285
Abstract: Asymptotic representations of power bounded operators and bounded semigroups of linear operators acting in Banach spaces are obtained under the assumptions that the spectrum of bounded operators on the unit circle and the spectrum of the semigroup generator on the imaginary axis are countable. The methods of abstract harmonic analysis and the spectral theory of operators were used.
Keywords: power bounded operator, operator semigroup, harmonic analysis, spectral theory, asymptotic representation, Banach algebra.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00378
Russian Science Foundation 14-21-00066
This work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00378) by the Russian Science Foundation (grant no. 14-21-00066 at Voronezh State University).
Received: 19.03.2013
Revised: 08.06.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 164–178
DOI: https://doi.org/10.1134/S0001434615010198
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. G. Baskakov, “Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces”, Mat. Zametki, 97:2 (2015), 174–190; Math. Notes, 97:2 (2015), 164–178
Citation in format AMSBIB
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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