[Author] Reinov O. I. [Title] Measurable space frames I. [AMS Subj-class] 47B10 Hilbert--Schmidt operators, trace class operators, nuclear operators, p-summing operators, frames etc. [Abstract] A new notion of "Measurable space frame" is introduced; the simples but important properties are given. The next parts of the work will be given in next papers. [Comments] AMSTeX, Russian, 3 pp. [Contact e-mail] orein51@mail.ru