Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Strukov V. E. Structure of the inverse for the integral operator of special kind. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 22-30. DOI: 10.18500/1816-9791-2013-13-2-1-22-30, EDN: SJJAWL

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
27.02.2013
Full text:
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.9
DOI: 
10.18500/1816-9791-2013-13-2-1-22-30
EDN: 
SJJAWL

Structure of the inverse for the integral operator of special kind

Autors: 
Strukov Victor Evgen'evich, Voronezh State University
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
References: 
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Received: 
07.09.2012
Accepted: 
09.01.2013
Published: 
27.02.2013
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