Ali Jabbari, Mohammad Sal Moslehian, Hamid Reza Ebrahimi Vishki
Abstract
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A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.
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A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.
Key concepts: Homomorphism, Surjective function, Mathematics, Bounded function, Pure mathematics, Algebra homomorphism, Banach algebra, Property (philosophy)