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# Systems of $n$ subspaces and representations of $*$-algebras generated by projections

### Abstract

In the present work a relationship between systems of n subspaces and representations of *-algebras generated by projections is investigated. It is proved that irreducible nonequivalent *-representations of *-algebras P4,com generate all nonisomorphic transitive quadruples of subspaces of a finite dimensional space.

### Article Information

 Title Systems of $n$ subspaces and representations of $*$-algebras generated by projections Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 1, 57-73 MathSciNet MR2210905 Copyright The Author(s) 2006 (CC BY-SA)

### Authors Information

Yu. P. Moskaleva
Taurida National University, 4 Vernads'ky, Simferopol, 95007, Ukraine

Yu. S. Samoilenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

### Citation Example

Yu. P. Moskaleva and Yu. S. Samoĭlenko, Systems of $n$ subspaces and representations of $*$-algebras generated by projections, Methods Funct. Anal. Topology 12 (2006), no. 1, 57-73.

### BibTex

@article {MFAT359,
AUTHOR = {Moskaleva, Yu. P. and Samoĭlenko, Yu. S.},
TITLE = {Systems of $n$ subspaces and representations of  $*$-algebras generated by projections},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {1},
PAGES = {57-73},
ISSN = {1029-3531},
MRNUMBER = {MR2210905},
URL = {http://mfat.imath.kiev.ua/article/?id=359},
}