On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors

Authors

  • 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

Issue

Section

Research articles

How to Cite

Popovich, S. V., and Yu. S. Samoilenko. “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.