Algebra of multipliers on the space of real analytic functions of one variable
Volume 212 / 2012
Studia Mathematica 212 (2012), 155-171
MSC: Primary 46E10, 47L80; Secondary 47L10, 46H35, 46E25, 46F15.
DOI: 10.4064/sm212-2-4
Abstract
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.
