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Sahleh, Abbas; Zivari-Kazempour, Abbas

Module actions on iterated duals of Banach algebras. (English) Zbl 1252.46039

ISRN Math. Anal. 2011, Article ID 439649, 6 p. (2011).
Summary: Let \(\mathcal A\) be a Banach algebra and \(\mathcal A''\) its second dual equipped with the first Arens product. We consider three \(\mathcal A''\)-bimodule structures on the fourth dual of \(\mathcal A\). This paper discusses the situation that makes these structures coincide.

MSC:

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

Keywords:

Arens product; fourth dual
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\textit{A. Sahleh} and \textit{A. Zivari-Kazempour}, ISRN Math. Anal. 2011, Article ID 439649, 6 p. (2011; Zbl 1252.46039)
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References:

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