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On \(\phi\)-ergodic property of Banach modules - MaRDI portal

On \(\phi\)-ergodic property of Banach modules (Q908226)

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scientific article; zbMATH DE number 6538895
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On \(\phi\)-ergodic property of Banach modules
scientific article; zbMATH DE number 6538895

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    On \(\phi\)-ergodic property of Banach modules (English)
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    3 February 2016
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    The author introduces and studies a notion of amenability for Banach modules. Among other things, he proves that the \(\phi\)-ergodic property of a Banach module \(X\) is related to some other properties such as a Hahn-Banach-type extension property and he characterizes \(\phi\)-amenability of a Banach algebra with a \(\phi\)-mean of norm one in terms of its ideals.
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    Banach modules
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    \(\phi\)-ergodic property
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    \(\phi\)-amenability
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    Lau algebra
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    \(\phi\)-mean
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