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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 2(1), Pages 22–30
DOI: https://doi.org/10.18500/1816-9791-2013-13-2-1-22-30 (Mi isu392) 		 
Mathematics

Structure of the inverse for the integral operator of special kind

V. E. Strukov

Voronezh State University, Russia, 394006, Voronezh, Universitetskaya pl., 1
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DOI: https://doi.org/10.18500/1816-9791-2013-13-2-1-22-30
Abstract: Algebra (with identity) generated by integral operators on the spaces of continuous periodic functions is considered. This algebra is proved to be an inverse-closed subalgebra in the algebra of all bounded linear operators.
Key words: Banach space, integral operator, Bochner–Phillips theorem, Fourier series of an operator, inverse-closedness of a subalgebra, Wiener's pair of algebras.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. E. Strukov, “Structure of the inverse for the integral operator of special kind”, Izv. Saratov Univ. Math. Mech. Inform., 13:2(1) (2013), 22–30
Citation in format AMSBIB
\Bibitem{Str13}
\by V.~E.~Strukov
\paper Structure of the inverse for the integral operator of special kind
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 2(1)
\pages 22--30
\mathnet{http://mi.mathnet.ru/isu392}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-2-1-22-30}
\elib{https://elibrary.ru/item.asp?id=21813632}
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