V. E. Strukov, “Structure of the inverse for the integral operator of special kind”, Izv. Saratov Univ. Math. Mech. Inform., 2013, Volume 13, Issue 2(1),Pages <nobr>22

Mathematics

Structure of the inverse for the integral operator of special kind

V. E. Strukov

Voronezh State University, Russia, 394006, Voronezh, Universitetskaya pl., 1

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.

UDC: 517.9

DOI: 10.18500/1816-9791-2013-13-2-1-22-30