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The Proximinality of the Centre of aC*-Algebra

✍ Scribed by D.W.B. Somerset

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
439 KB
Volume
89
Category
Article
ISSN
0021-9045

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✦ Synopsis

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).

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