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

Authors

  • Yu. S. Samoilenko Taurida National University, 4 Vernads'ky, Simferopol, 95007, Ukraine
  • Yu. P. Moskaleva Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

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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.

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Published

2006-03-25

Issue

Vol. 12 No. 1 (2006)

Section

Articles

How to Cite

Samoilenko, Yu. S., and Yu. P. Moskaleva. “Systems of $n$ Subspaces and Representations of $*$-Algebras Generated by Projections”. Methods of Functional Analysis and Topology, vol. 12, no. 1, Mar. 2006, pp. 57-73, https://zen.imath.kiev.ua/index.php/mfat/article/view/302.