Geodesic
ULTRAPOWERS OF BANACH ALGEBRAS AND MODULES
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 539-555

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DOI

The Arens products are the standard way of extending the product from a Banach algebra to its bidual ′′. Ultrapowers provide another method which is more symmetric, but one that in general will only give a bilinear map, which may not be associative. We show that if is Arens regular, then there is at least one way to use an ultrapower to recover the Arens product, a result previously known for C*-algebras. Our main tool is a principle of local reflexivity result for modules and algebras.
DOI : 10.1017/S0017089508004400
Mots-clés : 46B07, 46B08, 46H05, 46H25, 46L05 
DAWS, MATTHEW. ULTRAPOWERS OF BANACH ALGEBRAS AND MODULES. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 539-555. doi: 10.1017/S0017089508004400
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