φ-contractibility and character contractibility of fréchet algebras

Abstract

Right φ-contractibility and right character contractibility of Ba- nach algebras have been introduced and investigated. Here, we introduce and generalize these concepts for Fréchet algebras. We then verify available results about right φ-contractibility and right character contractibility of Banach alge- bras for Fréchet algebras. Moreover, we provide related results about Segal- Fréchet algebras. © 2010 Mathematics Subject Classification.