Derivations mapping into the socle, III

• Autorzy: Nadia Boudi , Peter Šemrl
• Języki publikacji: EN

Abstrakty

EN

Let A be a Banach algebra, and let d: A → A be a continuous derivation such that each element in the range of d has a finite spectrum. In a series of papers it has been proved that such a derivation is an inner derivation implemented by an element from the socle modulo the radical of A (a precise formulation of this statement can be found in the Introduction). The aim of this paper is twofold: we extend this result to the case where d is not necessarily continuous, and we give a complete description of such maps in the semisimple case.

Kategorie tematyczne

• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 197
• Numer: 2
• Strony: 141-155

Daty

wydano

2010

Twórcy

autor

Nadia Boudi

• Département de Mathématiques, Université Moulay Ismail, Faculté des Sciences, BP 11201, Zitoune, Meknes, Morocco

autor

Peter Šemrl

• Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

Identyfikatory

DOI

10.4064/sm197-2-2