Invertible extensions and growth conditions

Badea, Catalin; Müller, Vladimir

Comptes Rendus. Mathématique, Tome 339 (2004) no. 1, pp. 21-26.

Nous étudions les extensions inversibles des opérateurs linéaires et bornés sur un espace de Banach ou de Hilbert avec des conditions de croissance données pour les normes des inverses. Nous obtenons en particulier la réponse à plusieurs problèmes ouverts formulés dans la literature.

We study invertible extensions of Banach and Hilbert space bounded linear operators with prescribed growth conditions for the norm of inverses. In particular, the solutions of some open problems are obtained.

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