Topologies on the space of ideals of a Banach algebra
Beckhoff, Ferdinand
Studia Mathematica, Tome 113 (1995), p. 189-205 / Harvested from The Polish Digital Mathematics Library
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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 of Id(A) with the relative hull kernel topology turn out to be separable Lindelöf spaces if A is separable, which improves results from [14].

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216207 
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     pages = {189-205},
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Beckhoff, Ferdinand. Topologies on the space of ideals of a Banach algebra. Studia Mathematica, Tome 113 (1995) pp. 189-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv115i2p189bwm/

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