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A Series of Algebras Generalizing the Octonions and Hurwitz-Radon Identity

โœ Scribed by Sophie Morier-Genoud; Valentin Ovsienko


Publisher
Springer
Year
2011
Tongue
English
Weight
517 KB
Volume
306
Category
Article
ISSN
0010-3616

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Holomorphic Idempotents and Retracts in
โœ Jerry R. Muir Jr. ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 189 KB

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