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Theorem of Gelfand-Mazur and Commutativity in Unital Real Topological Algebras

✍ Scribed by Mohamed Oudadess


Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
223 KB
Volume
8
Category
Article
ISSN
1660-5446

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Holomorphic Idempotents and Retracts in
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Let A be a commutative C U -algebra with identity and open unit ball B. We study holomorphic functions F: B ª B that are idempotent under composition and establish necessary and sufficient conditions for a set R : B to be the image Ž of B under such an idempotent function. In other words, R is a hol