Geodesic
An extremal problem in Banach algebras
Anders Olofsson1
1 Department of Mathematics Stockholm University SE-106 91 Stockholm, Sweden
Studia Mathematica, Tome 145 (2001) no. 3, pp. 255-264

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

We study asymptotics of a class of extremal problems $r_n(A,\varepsilon )$ 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.
DOI : 10.4064/sm145-3-5
Mots-clés : study asymptotics class extremal problems varepsilon related norm controlled inversion banach algebras general setting prove estimates considered quantitative refinements theorem jan erik section specialize further consider class analytic beurling algebras particular question raised jan erik answered negative

Anders Olofsson 1

1 Department of Mathematics Stockholm University SE-106 91 Stockholm, Sweden 
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Anders Olofsson. An extremal problem in Banach algebras. Studia Mathematica, Tome 145 (2001) no. 3, pp. 255-264. doi: 10.4064/sm145-3-5

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