Groups of invertible elements of Banach algebras
نویسندگان
چکیده
منابع مشابه
Isometries between Groups of Invertible Elements in Banach Algebras
We show that if T is an isometry (as metric spaces) from an open subgroup of the group of the invertible elements in a unital semisimple commutative Banach algebra onto an open subgroup of the group of the invertible elements in a unital Banach algebra, then T (1)T is an isometrical group isomorphism. In particular, T (1)T is extended to an isometrical real algebra isomorphism from A onto B.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1973
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1973-13102-7