Geodesic
Algebra of multipliers on the space of real analytic functions of one variable
Paweł Domański 1   ; Michael Langenbruch 2
1 Faculty of Mathematics and Computer Science A. Mickiewicz University Poznań Umultowska 87 61-614 Poznań, Poland
2 Department of Mathematics University of Oldenburg D-26111 Oldenburg, Germany
Studia Mathematica, Tome 212 (2012) no. 2, pp. 155-171 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm212-2-4
Keywords: consider topological algebra taylor multipliers spaces real analytic functions variable maps which monomials eigenvectors describe multiplicative functionals algebra homomorphisms algebra idempotents never q algebra never locally m convex particular taylor multiplier sequences cease after permutations

Paweł Domański  1   ; Michael Langenbruch  2

1 Faculty of Mathematics and Computer Science A. Mickiewicz University Poznań Umultowska 87 61-614 Poznań, Poland
2 Department of Mathematics University of Oldenburg D-26111 Oldenburg, Germany 
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Paweł Domański; Michael Langenbruch. Algebra of multipliers on the space
 of real analytic functions of one variable. Studia Mathematica, Tome 212 (2012) no. 2, pp. 155-171. doi: 10.4064/sm212-2-4

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