Browsing by Author "Mustafaev, G. S."

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Weakly Compact Homomorphisms of Regular Banach Algebras
(Pleiades Publishing inc, 2008) Mustafaev, G. S.
Let A be a uniformly regular Ditkin algebra. It is shown that every weakly compact homomorphism of A into a Banach algebra is finite-dimensional.
On the Radical for Some Class of Banach Algebras
(Pleiades Publishing inc, 2007) Mustafaev, G. S.
Let A be a complex Banach algebra. It is well known that the second dual A** of A can be equipped with a multiplication that extends the original multiplication on A and makes A** a Banach algebra. We show that Rad(A) (perpendicular to)(A* . A) and Rad(A**) = (A* . A)(perpendicular to) for some classes of Banach algebras A with scattered structure space. Some applications of these results are given.