Geodesic
Algebra of multipliers on the space of real analytic functions of one variable
Paweł Domański1 ; Michael Langenbruch2
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_sm212_2_4,
     author = {Pawe{\l} Doma\'nski and Michael Langenbruch},
     title = {Algebra of multipliers on the space
 of real analytic functions of one variable},
     journal = {Studia Mathematica},
     pages = {155--171},
     publisher = {mathdoc},
     volume = {212},
     number = {2},
     year = {2012},
     doi = {10.4064/sm212-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm212-2-4/}
}
TY  - JOUR
AU  - Paweł Domański
AU  - Michael Langenbruch
TI  - Algebra of multipliers on the space
 of real analytic functions of one variable
JO  - Studia Mathematica
PY  - 2012
SP  - 155
EP  - 171
VL  - 212
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm212-2-4/
DO  - 10.4064/sm212-2-4
LA  - en
ID  - 10_4064_sm212_2_4
ER  - 
%0 Journal Article
%A Paweł Domański
%A Michael Langenbruch
%T Algebra of multipliers on the space
 of real analytic functions of one variable
%J Studia Mathematica
%D 2012
%P 155-171
%V 212
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm212-2-4/
%R 10.4064/sm212-2-4
%G en
%F 10_4064_sm212_2_4
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

Cité par Sources :