The continuity of Lie homomorphisms

• Autorzy: Bernard Aupetit , Martin Mathieu
• Języki publikacji: EN

Abstrakty

EN

We prove that the separating space of a Lie homomorphism from a Banach algebra onto a Banach algebra is contained in the centre modulo the radical.

Słowa kluczowe

EN

Lie homomorphisms; Banach algebras; spectrally bounded maps

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 16W10: Rings with involution; Lie, Jordan and other nonassociative structures
• 46H70: Nonassociative topological algebras
• 46H40: Automatic continuity
• 17B60: Lie (super)algebras associated with other structures (associative, Jordan, etc.)
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 138
• Numer: 2
• Strony: 193-199

Daty

wydano

2000

otrzymano

1999-06-21

poprawiono

1999-10-19

Twórcy

autor

Bernard Aupetit

• Département de Mathématiques et de Statistique, Université Laval, Québec, Québec, G1K 7P4, Canada

autor

Martin Mathieu

• Department of Pure Mathematics, The Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland

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