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Displaying similar documents to “A note on the homomorphism theorem for hemirings.”

Topologies on the space of ideals of a Banach algebra

Ferdinand Beckhoff (1995)

Studia Mathematica

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Some topologies on the space Id(A) of two-sided and closed ideals of a Banach algebra are introduced and investigated. One of the topologies, namely τ , coincides with the so-called strong topology if A is a C*-algebra. We prove that for a separable Banach algebra τ coincides with a weaker topology when restricted to the space Min-Primal(A) of minimal closed primal ideals and that Min-Primal(A) is a Polish space if τ is Hausdorff; this generalizes results from [1] and [5]. All subspaces...