[Author] O. I. Reinov [Title] RN operators and Approximtions [AMS Subj-class] 47B10 Hilbert-Schmidt operators, trace class operators, nuclear operators, p-summing operators, etc. [Abstract] About RN-operators and AP's introduced by the author. [Comments] Russian, AMS-TeX, 282 pp. [Contact e-mail] orein51@mail.ru