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

• Autorzy: Paweł Domański , Michael Langenbruch
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47L10: Algebras of operators on Banach spaces and other topological linear spaces
• 46H35: Topological algebras of operators \SeeMainly{}
• 47L80: Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
• 46E25: Rings and algebras of continuous, differentiable or analytic functions
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F15: Hyperfunctions, analytic functionals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 212
• Numer: 2
• Strony: 155-171

Daty

wydano

2012

Twórcy

autor

Paweł Domański

• Faculty of Mathematics and Computer Science, A. Mickiewicz University Poznań, Umultowska 87, 61-614 Poznań, Poland

autor

Michael Langenbruch

• Department of Mathematics, University of Oldenburg, D-26111 Oldenburg, Germany

Identyfikatory

DOI

10.4064/sm212-2-4