On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors

  • S. V. Popovich
  • Yu. S. Samoilenko Iн-т математики НАН України, Київ

Abstract

We consider algebras generated by idempotents in Banach spaces and orthoprojectors in Hilbert spaces whose sum is a multiple of the identity. We construct several functors generated by homomorphisms of the algebras considered between categories of representations. We investigate properties of these functors and present their applications.
Published
25.09.2003
How to Cite
PopovichS. V., and SamoilenkoY. S. “On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 9, Sept. 2003, pp. 1224-37, https://umj.imath.kiev.ua/index.php/umj/article/view/3995.
Section
Research articles