Algebra of multipliers on the space of real analytic functions of one variable

作者：Domanski Pawel^*; Langenbruch Michael

来源：Studia Mathematica, 2012, 212(2): 155-171.

DOI：10.4064/sm212-2-4

• spaces of real analytic functions
• multiplier
• topological algebra
• locally m-convex algebra
• algebra homomorphisms
• invertible elements
• multiplicative functionals
• Q-algebra

We consider the topological algebra of (Taylor) multipliers on spaces of real analytic functions of one variable, i.e., maps for which monomials are eigenvectors. We describe multiplicative functionals and algebra homomorphisms on that algebra as well as idempotents in it. We show that it is never a Q-algebra and never locally m-convex. In particular, we show that Taylor multiplier sequences cease to be so after most permutations.

• 出版日期2012