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Matematicheskie Zametki, 2015, Volume 97, Issue 5, Pages 670–680
DOI: https://doi.org/10.4213/mzm10652 (Mi mzm10652) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Harmonic Analysis of Some Classes of Linear Operators on a Real Banach Space

E. E. Dikarev, D. M. Polyakov

Voronezh State University
Full-text PDF (520 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10652
Abstract: For some classes of bounded linear operators acting in a real Banach space, the methods of abstract harmonic analysis are used to obtain conditions for these operators to be decomposable in the sense of Foiaş and the conditions for the existence of a nontrivial invariant subspace.
Keywords: bounded linear operator, decomposable operator, superdecomposable operator, invariant subspace, real Banach space, Banach module, decomposability in the sense of Foiaş, Beurling spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00378
14-01-31196
Russian Science Foundation 14-21-00066
This work was supported by the Russian Foundation for Basic Research (grants nos. 13-01-00378 and 14-01-31196) and by the Russian Science Foundation (grant no. 14-21-00066) to be implemented at Voronezh State University (Section 4).
Received: 19.12.2013
Revised: 07.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 5, Pages 684–693
DOI: https://doi.org/10.1134/S0001434615050041
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. E. Dikarev, D. M. Polyakov, “Harmonic Analysis of Some Classes of Linear Operators on a Real Banach Space”, Mat. Zametki, 97:5 (2015), 670–680; Math. Notes, 97:5 (2015), 684–693
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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