Topological Algebras with Finitely-Generated Bases
نویسنده
چکیده
The theory of topological algebras and the theory of bases in topological vector spaces are both well-established areas of analysis but only recently have papers appeared combining these two concepts. Of course, no new information about an algebra will be provided by a basis unless some relationship is given between the basis and the multiplicative structure of the algebra. For example, orthogonal bases have been studied by Husain and Watson [3] and cyclic bases by Watson [6]. In this paper we consider commutative topological algebras with finitelygenerated bases. This means that the basis is generated multiplicatively by a finite set of elements {zl . . . . . z,} in A, i.e., x e A has a unique representation
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