On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors
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.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 9, pp 1480-1496.
Citation Example: Popovich S. V., Samoilenko Yu. S. On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors // Ukr. Mat. Zh. - 2003. - 55, № 9. - pp. 1224-1237.