Korotkov, V. B. One criterion for nuclearity of linear operators. (Russian, English) Zbl 1119.47020 Sib. Mat. Zh. 46, No. 5, 1072-1078 (2005); translation in Sib. Math. J. 46, No. 5, 857-862 (2005). Summary: We prove a criterion for nuclearity of a linear operator and establish the form of the greatest two-sided ideal of the set of all compact Akhiezer integral operators in \(L_2\) and the set of all Akhiezer integral operators in \(L_2\). MSC: 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 47B38 Linear operators on function spaces (general) 47G10 Integral operators Keywords:nuclear operator; Hilbert-Schmidt integral operator; Carleman integral operator; Akhiezer integral operator; two-sided ideal PDFBibTeX XMLCite \textit{V. B. Korotkov}, Sib. Mat. Zh. 46, No. 5, 1072--1078 (2005; Zbl 1119.47020); translation in Sib. Math. J. 46, No. 5, 857--862 (2005) Full Text: EuDML EMIS