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February 2017 φ-contractibility and character contractibility of Fréchet algebras
Fatemeh Abtahi, Somaye Rahnama
Ann. Funct. Anal. 8(1): 75-89 (February 2017). DOI: 10.1215/20088752-3764415

Abstract

Right φ-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 φ-contractibility and right character contractibility of Banach algebras for Fréchet algebras. Moreover, we provide related results about Segal–Fréchet algebras.

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Fatemeh Abtahi. Somaye Rahnama. "φ-contractibility and character contractibility of Fréchet algebras." Ann. Funct. Anal. 8 (1) 75 - 89, February 2017. https://doi.org/10.1215/20088752-3764415

Information

Received: 15 January 2016; Accepted: 24 June 2016; Published: February 2017
First available in Project Euclid: 31 October 2016

zbMATH: 1368.46039
MathSciNet: MR3566892
Digital Object Identifier: 10.1215/20088752-3764415

Subjects:
Primary: 46H05
Secondary: 46A03 , 46A04 , 46H25

Keywords: abstract Segal algebra , Fréchet algebra , right $\varphi$-contractibility , right character contractibility

Rights: Copyright © 2017 Tusi Mathematical Research Group

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Vol.8 • No. 1 • February 2017
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