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A weakening of the axioms for aC*-algebra

โœ Scribed by George A. Elliott


Publisher
Springer
Year
1970
Tongue
English
Weight
221 KB
Volume
189
Category
Article
ISSN
0025-5831

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It is shown that if A is a unital C\*-algebra then Z(A), the centre of A, is a proximinal subspace. In other words, for each a # A there exists z # Z(A) such that &a&z& is equal to the distance from a to Z(A).