A+ CATEGORY SCIENTIFIC UNIT

An extremal problem in Banach algebras

Volume 145 / 2001

Anders Olofsson Studia Mathematica 145 (2001), 255-264 MSC: Primary 46J05; Secondary 42A20. DOI: 10.4064/sm145-3-5

Abstract

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.

Authors

  • Anders OlofssonDepartment of Mathematics
    Stockholm University
    SE-106 91 Stockholm, Sweden
    e-mail

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