  In this article poles, isolated spectral points, group, Drazin and
Koliha-Drazin invertible elements in the context of quotient Banach algebras or
in ranges of (not necessarily continuous) homomorphism between complex unital
Banach algebras will be characterized using Fredholm and Riesz Banach algebra
elements. Calkin algebras on Banach and Hilbert spaces will be also considered.
