Anatolii KYRYCHENKO 1 and Alexander STRELETS 2
1Kyiv National University of Building and Architekture,
 31 Povitroflotsky Ave.,
 Kyiv,
 UKRAINE
   and
2Institute of Mathematics of NAS of Ukraine,
 3 Tereshchenkivs'ka Str.,
 01601 Kyiv,
 UKRAINE
E-mail: akyrych@imath.kiev.ua, sav@imath.kiev.ua

On *-representations of algebras generated by linear connected orthoprojections

Abstract:
We studied some classes of *-algebras generated by linear connected projections, a problem of existence nonzero *-representations and investigated a growth of the algebras, discribed the representations up to unitary equavivalence.