Abstract
We consider a class of Banach algebras with irreducible finite-dimensional representations and prove that, for amenable Banach algebras from this class, the weak complete continuity implies the discreteness of their structural space.
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Mustafaev, G.S. On the Discreteness of the Structural Space of Weakly Completely Continuous Banach Algebras. Ukrainian Mathematical Journal 56, 504–511 (2004). https://doi.org/10.1023/B:UKMA.0000045692.49971.73
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DOI: https://doi.org/10.1023/B:UKMA.0000045692.49971.73