Extension of a certain $C^*$ algebra

Structure of Certain Banach Algebra Products

Let  and  be Banach algebras, ,  and . We define an -product on  which is a strongly splitting extension of  by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.

Existence of an Algebra Norm on Certain Subalgebras of C(X)

Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

existence of an algebra norm on certain subalgebras of c(x)

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structure of certain banach algebra products

let  and  be banach algebras, ,  and . we define an -product on  which is a strongly splitting extension of  by . we show that these products form a large class of banach algebras which contains all module extensions and triangular banach algebras. then we consider spectrum, arens regularity, amenability and weak amenability of these products.