A geometric condition equivalent to commutativity in Banach algebras
نویسندگان
چکیده
منابع مشابه
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S. Sherman has shown [4] that if the self adjoint elements of a C* algebra form a lattice under their natural ordering the algebra is necessarily commutative. In this note we extend this result to real Banach algebras with an identity and arbitrary Banach * algebras with an identity. The central fact for a real Banach algebra A is that if the positive cone is defined to be the uniform closure o...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1989
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-94-2-187-192