Publication: A class of banach algebras whose duals have the schur property
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KU-Authors
KU Authors
Co-Authors
Mustafayev, Heybetkulu
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Type
Embargo Status
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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).
Source
Publisher
Scientific and Technical research Council of Turkey - TUBITAK/Türkiye Bilimsel ve Teknik Araştırma Kurumu
Subject
Mathematics
Citation
Has Part
Source
Turkish Journal of Mathematics