Banach manifolds and the Gelfand representation theorem
نویسندگان
چکیده
منابع مشابه
Gelfand theory for non-commutative Banach algebras
Let A be a Banach algebra. We call a pair (G,A) a Gelfand theory for A if the following axioms are satisfied: (G 1) A is a C∗-algebra, and G : A → A is a homomorphism; (G 2) the assignment L 7→ G−1(L) is a bijection between the sets of maximal modular left ideals of A and A, respectively; (G 3) for each maximal modular left ideal L of A, the linear map GL : A/G−1(L) → A/L induced by G has dense...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1978
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(78)80006-7