[Author] O. I. Reinov [Title] Nonequivalent Banach norms on the same linear space [AMS Subj-class] 46B03 Isomorphic theory (including renorming) of Banach spaces [Abstract] There are two nonequivalent complete norms on the linear space of all continuous functions on the closed unit interval. [Comments] LaTeX, Russian, 2 pp. [Contact e-mail] orein51@mail.ru