[Authors] Oleg Reinov [Title] On product of nuclear operators [AMS Subj-class] 47B10 Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [Abstract] A question on possibility of factorization of a product of nuclear operators through the operators of von Neumann-Schatten class is considered. In particular, a product of two nuclear operators factors, generally, only through a Hilbert-Schmidt operator. [Comments] LaTeX, Russian, 3 pp. [Contact e-mail] orein51@mail.ru