论文标题
Bochner-Schoenberg-eberlein型不平等，直接总和，理想和商的代数
Bochner-Schoenberg-Eberlein-type inequality of the direct sum, ideals and quotient of Frechet algebras
论文作者
论文摘要
令A和B为两个交换性的半神经特代数。我们首先给出A和B的直接总和的乘数代数的表征。然后，当且仅当a和b是bse-elgebras时，我们就证明a \ oplus b是bse-algebra。此外，对于A的封闭理想I，我们研究了A的理想和商代数的乘数，并表明在某些条件下，I和A/I是BSE-Elgebras。
Let A and B be two commutative semisimple Frechet algebras. We first give a characterization of the multiplier algebra of the direct sum of A and B. We then prove that A \oplus B is a BSE-algebra if and only if A and B are BSE-algebras. Furthermore, for a closed ideal I of A, we study multipliers of ideals and quotient algebras of A and show that I and A/I are BSE-algebras, under certain conditions.
