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

Paweł Domański, and Michael Langenbruch. "Algebra of multipliers on the space of real analytic functions of one variable." Studia Mathematica 212.2 (2012): 155-171. <http://eudml.org/doc/285794>.

@article{PawełDomański2012,
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.},
author = {Paweł Domański, Michael Langenbruch},
journal = {Studia Mathematica},
keywords = {spaces of real analytic functions; multipliers; topological algebras; locally -convex algebra; algebra homomorphism; invertible elements; multiplicative functional; -algebra},
language = {eng},
number = {2},
pages = {155-171},
title = {Algebra of multipliers on the space of real analytic functions of one variable},
url = {http://eudml.org/doc/285794},
volume = {212},
year = {2012},
}

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
VL - 212
IS - 2
SP - 155
EP - 171
AB - 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.
LA - eng
KW - spaces of real analytic functions; multipliers; topological algebras; locally -convex algebra; algebra homomorphism; invertible elements; multiplicative functional; -algebra
UR - http://eudml.org/doc/285794
ER -