The Bochner-Schoenberg-Eberlein (BSE)-property on commutative Banach algebras is a property related to multiplier algebras of Banach algebras. In this paper, we answer the problem (12) raised by Javanshiri and Nemati in [Amalgamated duplication of the Banach algebra A along a A-bimodule A, J. Algebra Appl. 17(9) (2018) 1850169-11850169-21]. In this paper, under certain conditions, we show that the amalgamated Banach algebra A sic A is BSE-algebra if and only if A and A are BSE-algebras.
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