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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
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