O.I. Reinov E-mail: orein@orein.usr.pu.ru On continuity of scales of some operator ideals. I. (Russian) Abstract: The question on the continuity of p-summing and p-nuclear norms in corresponding scales of Banach operator ideals is investigated. Subj-Class: 47B10. Hilbert--Schmidt operators, trace class operators, nuclear operators, p-summing operators, etc. Submitted to "Matematicheskie Zametki": 08.03.1999 TeX: AMSTeX. Russian (20 pp.)