[Author]
 O. I. Reinov

[Title]
 Generalizations of frame notion

[AMS Subj-class]
 46B15 Summability and bases
 46C99 Hilbert spaces etc.

[Abstract]
   We consider so-called integral frames for Hilbert spaces ---
 a particular case of measurable space frames, been introduced
 by the author a couple of years ago. The integral frames are
 defined in the same way as the usual frames but instead of the
 sums one uses the integrals.
   These integral frames generate by a natural way some important
 bounded operators in (functional) Hilbert spaces. There is also
 a connection with some Hilbert valued functions.
   We establish some general facts on the integral frames. E.g.,
 they are always complete in their Hilbert spaces and if one
 takes away an essential part of an integral frame then one
 gets either an integral frame again or a noncomplete system.

[Comments]
 Russian, AMS-TeX, 16 pp.

[Contact e-mail]
 orein51@or1146.spb.edu