An extremal problem in Banach algebras

Anders Olofsson. "An extremal problem in Banach algebras." Studia Mathematica 145.3 (2001): 255-264. <http://eudml.org/doc/285005>.

@article{AndersOlofsson2001,
abstract = {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.},
author = {Anders Olofsson},
journal = {Studia Mathematica},
keywords = {norm controlled inversion; Wiener's lemma; Beurling algebras; asymptotics; extremal problems; Banach algebras; analytic Beurling algebras},
language = {eng},
number = {3},
pages = {255-264},
title = {An extremal problem in Banach algebras},
url = {http://eudml.org/doc/285005},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Anders Olofsson
TI - An extremal problem in Banach algebras
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 3
SP - 255
EP - 264
AB - 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.
LA - eng
KW - norm controlled inversion; Wiener's lemma; Beurling algebras; asymptotics; extremal problems; Banach algebras; analytic Beurling algebras
UR - http://eudml.org/doc/285005
ER -