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- W2523041265 abstract "Nous etablissons la continuite de l'∈-pseudospectre (∀∈>0) sous la propriete de convergence uniforme. De plus nous montrons que si ||T n - T|| → 0 ou T et (T n ) n ∈ N sont des operateurs bornes sur un espace de Banach, alors le spectre de la suite d'operateurs (T n ) n ∈ N au sens de Godunov et Ryabenki [9] est egal au spectre de T. La meme etude est faite pour la convergence collectivement compacte pour laquelle des resultats un peu moins forts sont etablis. Enfin, le cas particulier des operateurs representes par des matrices triangulaires sera traite." @default.
- W2523041265 created "2016-09-30" @default.
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- W2523041265 date "1998-01-01" @default.
- W2523041265 modified "2023-09-25" @default.
- W2523041265 title "Pseudospectre d'une suite d'opérateurs bornés" @default.
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- W2523041265 doi "https://doi.org/10.1051/m2an/1998320606711" @default.
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