Soit T un opérateur polynomialement borné sur un espace de Banach et soit la plus petite algèbre de Banach uniformement fermé contenant T et l'identité. Il est montré dans cet article que pour tout ,
Let T be a polynomially bounded operator on a complex Banach space and let be the smallest uniformly closed (Banach) algebra that contains T and the identity operator. It is shown that for every ,
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@article{CRMATH_2010__348_9-10_517_0, author = {Mustafayev, Heybetkulu S.}, title = {Asymptotic behavior of polynomially bounded operators}, journal = {Comptes Rendus. Math\'ematique}, pages = {517--520}, publisher = {Elsevier}, volume = {348}, number = {9-10}, year = {2010}, doi = {10.1016/j.crma.2010.04.003}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2010.04.003/} }
TY - JOUR AU - Mustafayev, Heybetkulu S. TI - Asymptotic behavior of polynomially bounded operators JO - Comptes Rendus. Mathématique PY - 2010 SP - 517 EP - 520 VL - 348 IS - 9-10 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2010.04.003/ DO - 10.1016/j.crma.2010.04.003 LA - en ID - CRMATH_2010__348_9-10_517_0 ER -
%0 Journal Article %A Mustafayev, Heybetkulu S. %T Asymptotic behavior of polynomially bounded operators %J Comptes Rendus. Mathématique %D 2010 %P 517-520 %V 348 %N 9-10 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2010.04.003/ %R 10.1016/j.crma.2010.04.003 %G en %F CRMATH_2010__348_9-10_517_0
Mustafayev, Heybetkulu S. Asymptotic behavior of polynomially bounded operators. Comptes Rendus. Mathématique, Tome 348 (2010) no. 9-10, pp. 517-520. doi : 10.1016/j.crma.2010.04.003. http://archive.numdam.org/articles/10.1016/j.crma.2010.04.003/
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