Publication: A class of Banach algebras whose duals have the Schur property
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Mustafayev, H.
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NO
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Abstract
Call a commutative Banach algebra A a γ-algebra if it contains a bounded group Λ such that aco(Λ) contains a multiple of the unit ball of A. In this paper, first by exhibiting several concrete examples, we show that the class of γ-algebras is quite rich. Then, for a γ-algebra A, we prove that A* has the Schur property iff the Gelfand spectrum Σ of A is scattered iff A* = ap(A) iff A* = Span(Σ).
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TÜBİTAK
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Mathematics
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Turkish Journal of Mathematics