In this article we prove that Axiom A is a necessary condition for structural stability of C1 nonsingular endomorphisms of the circle.

Suppose A is a C*-algebra and B is a Banach algebra such that it can be continuously imbedded in B(H), the Banach algebra of bounded linear operators on some Hubert space H. It is shown that if 6 is a compact algebra homomorphism from A into B, then 6 is a finite rank operator, and the range of 0 is spanned by a finite number of idempotents. If, moreover, B is commutative, then 9 has the form 8...

Abstract We obtain conditions of uniform continuity for endomorphisms free-abelian times free groups the product metric defined by taking prefix in each component and establish an equivalence between this preservation a coarse-median, concept recently introduced Fioravanti. Considering extension endomorphism to completion, we count number orbits action subgroup fixed points (respectively period...