An extremal problem in Banach algebras

• Autorzy: Anders Olofsson
• Języki publikacji: EN

Abstrakty

EN

We study asymptotics of a class of extremal problems rₙ(A,ε) related to norm controlled inversion in Banach algebras. In a general setting we prove estimates that can be considered as quantitative refinements of a theorem of Jan-Erik Björk [1]. In the last section we specialize further and consider a class of analytic Beurling algebras. In particular, a question raised by Jan-Erik Björk in [1] is answered in the negative.

Kategorie tematyczne

• 42A20: Convergence and absolute convergence of Fourier and trigonometric series
• 46J05: General theory of commutative topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 3
• Strony: 255-264

Daty

wydano

2001

Twórcy

autor

Anders Olofsson

• Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden

Identyfikatory

DOI

10.4064/sm145-3-5