Asymptotic aspect of derivations in Banach algebras

We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear...

Descripción completa

Detalles Bibliográficos
Autores principales: Roh, Jaiok, Chang, Ick-Soon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306381/
https://www.ncbi.nlm.nih.gov/pubmed/28250691
http://dx.doi.org/10.1186/s13660-017-1308-0
Descripción
Sumario:We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear derivation and their stability. We finally take central linear derivations with radical ranges on semiprime Banach algebras and a continuous linear generalized left derivation on a semisimple Banach algebra.

Ejemplares similares