Novitskij, I. M. Unitary equivalence of linear operators and integral operators with smooth kernels. (English. Russian original) Zbl 0801.45007 Differ. Equations 28, No. 9, 1329-1337 (1992); translation from Differ. Uravn. 28, No. 9, 1608-1616 (1992). The author describes all linear operators on \(L_ 2 (0,\infty)\) which are unitarily equivalent to bi-Carleman integral operators whose kernels and Carleman functions have prescribed degree of smoothness and vanish at infinity. Reviewer: J.Appell (Würzburg) Cited in 1 Document MSC: 45P05 Integral operators 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 47G10 Integral operators 47B38 Linear operators on function spaces (general) Keywords:unitary equivalence; linear operators; bi-Carleman integral operators; degree of smoothness PDFBibTeX XMLCite \textit{I. M. Novitskij}, Differ. Equations 28, No. 9, 1608--1616 (1992; Zbl 0801.45007); translation from Differ. Uravn. 28, No. 9, 1608--1616 (1992)