AUTOMATIC CONTINUITY OF SURJECTIVE n-HOMOMORPHISMS ON BANACH ALGEBRAS
M. Eshaghi Gordji, Ali Jabbari, Erdal Karapınar
Abstract
M. Eshaghi Gordji, Ali Jabbari, Erdal Karapınar
Abstract
Abstract. In this paper, we show that every surjective n-homomorphism (n-anti-homomorphism) from a Banach algebra A into a semisimple Ba-nach algebra B is continuous.
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Abstract. In this paper, we show that every surjective n-homomorphism (n-anti-homomorphism) from a Banach algebra A into a semisimple Ba-nach algebra B is continuous.
Key concepts: Mathematics, Homomorphism, Surjective function, Banach algebra, Pure mathematics, Algebra over a field, Banach space