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Some equivalents of AC in algebra

โœ Scribed by K. Keremedis

Publisher
Springer
Year
1996
Tongue
English
Weight
309 KB
Volume
36
Category
Article
ISSN
0002-5240

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๐Ÿ“œ SIMILAR VOLUMES

The Proximinality of the Centre of aC*-A
The Proximinality of the Centre of aC*-Algebra
โœ D.W.B. Somerset ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 439 KB

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).