Remarks on the bidual of Banach algebras (the case)
Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Jianlian Cui, Jinchuan Hou (2002)
Studia Mathematica
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We show that every spectrally bounded linear map Φ from a Banach algebra onto a standard operator algebra acting on a complex Banach space is square-zero preserving. This result is used to show that if Φ₂ is spectrally bounded, then Φ is a homomorphism multiplied by a nonzero complex number. As another application to the Hilbert space case, a classification theorem is obtained which states that every spectrally bounded linear bijection Φ from ℬ(H) onto ℬ(K), where H and K are infinite-dimensional...
Jorge Mújica (1995)
Revista Matemática de la Universidad Complutense de Madrid
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In this survey we present two Mittag-Leffler lemmas and several applications to topics as varied as the delta-equation, Fréchet algebras, inductive limits of Banach spaces and quasi-normable Fréchet spaces.
Bruno Iochum, Guy Loupias (1985)
Annales de l'I.H.P. Physique théorique
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Julio Becerra Guerrero, A. Rodríguez-Palacios (2002)
Extracta Mathematicae
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Angel Rodriguez Palacios (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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M. Benslimane, L. Mesmoudi, A. Rodríguez Palacios (2000)
Extracta Mathematicae
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