Department of Mathematics2024-11-0919991300-00982-s2.0-0141846327https://hdl.handle.net/20.500.14288/2962Call 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).pdfMathematicsJournal Article1303-6149Q2NOIR02453