[Author] O. I. Reinov [Title] Measurable space frames revised [AMS Subj-class] 47B10 Hilbert space operators etc. [Abstract] A notion of "Measurable space frame" is investigated; the simples but important properties are given. The next parts of the work will be given in next papers. [Comments] English, LaTeX, 6 pp. [Contact e-mail] orein51@mail.ru