Quasi-Multipliers on Weak Arens Regular Banach Algebras
نویسندگان
چکیده
In this paper we define the notion of weak Arens regular Banach algebras and extend the concept of quasi-multipliers to this certain class of Banach algebras. Among other the relationship between Arens regularity of the algebra A∗∗ of a weak Arens regular Banach algebra A and the space QMr(A∗) of all bilinear and separately continuous right quasimultipliers of A∗ is investigated. Further, we stablish several properties of the strict and quasi-strict topologies on the QMr(A∗) Mathematics Subject Classification: Primary 47B48; Secondary 46H25
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