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- W2949362896 abstract "Let $A$ and $B$ be Banach algebras, $theta: Ato B$ be a continuous Banach algebra homomorphism and $I$ be a closed ideal in $B$. Then the direct sum of $A$ and $I$ with respect to $theta$, denoted $Abowtie^{theta}I$, with a special product becomes a Banach algebra which is called the amalgamated Banach algebra. In this paper, among other things, we compute the topological centre of $Abowtie^{theta}I$ in terms of that of $A$ and $I$. Using this, we provide a characterization of the Arens regularity of $Abowtie^{theta}I$. Then we determine the character space of $Abowtie^{theta}I$ in terms of that of $A$ and $I$. Moreover, we study the weak amenability of $Abowtie^{theta}I$." @default.
- W2949362896 created "2019-06-27" @default.
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- W2949362896 date "2016-06-22" @default.
- W2949362896 modified "2023-09-27" @default.
- W2949362896 title "On Amalgamated Banach algebras" @default.
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