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\(\phi\)-contractibility and character contractibility of Fréchet algebras. (English) Zbl 1368.46039

Summary: Right \(\varphi\)-contractibility and right character contractibility of Banach algebras have been introduced and investigated. Here, we introduce and generalize these concepts for Fréchet algebras. We then verify available results about right \(\varphi\)-contractibility and right character contractibility of Banach algebras for Fréchet algebras. Moreover, we provide related results about Segal-Fréchet algebras.

MSC:

46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
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