Spectral isometries
Martin Mathieu (2005)
Banach Center Publications
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In this survey, we summarise some of the recent progress on the structure of spectral isometries between C*-algebras.
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Martin Mathieu (2005)
Banach Center Publications
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In this survey, we summarise some of the recent progress on the structure of spectral isometries between C*-algebras.
Kovacs, Istvan (2005)
Abstract and Applied Analysis
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Siddiqui, Akhlaq A. (2007)
International Journal of Mathematics and Mathematical Sciences
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Bernard Aupetit (1994)
Banach Center Publications
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A. Sourour (1994)
Banach Center Publications
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This expository article deals with results surrounding the following question: Which pairs of Banach algebras A and B have the property that every unital invertibility preserving linear map from A to B is a Jordan homomorphism?
Yaakov Friedamnn, Bernhard Russo (1987)
Mathematische Zeitschrift
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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...
J. Martinez Moreno (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Jaroslav Zemánek (1977)
Studia Mathematica
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Bruno Iochum, Guy Loupias (1985)
Annales de l'I.H.P. Physique théorique
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M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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