Arens Regularity of Certain Class of Banach Algebras

Autor: Abbas Sahleh, Abbas Zivari-Kazempour
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2011 (2011)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2011/680952
Popis: We study Arens regularity of the left and right module actions of 𝐴 on 𝐴(𝑛), where 𝐴(𝑛) is the nth dual space of a Banach algebra 𝐴, and then investigate (quotient) Arens regularity of 𝑈=𝐴⊕𝐴(𝑛) as a module extension of Banach algebras.
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