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Standardness of *-representations of the algebra of smooth finite functions

✍ Scribed by S. V. Tishchenko; V. S. Yakovlev


Book ID
112474426
Publisher
Springer
Year
1990
Tongue
English
Weight
281 KB
Volume
42
Category
Article
ISSN
0041-5995

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Finitely-Generated Algebras of Smooth Fu
✍ Graham Allan; Grayson Kakiko; A.G O'Farrell; R.O Watson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 264 KB

We characterise the closure in C (R, R) of the algebra generated by an arbitrary finite point-separating set of C functions. The description is local, involving Taylor series. More precisely, a function f # C belongs to the closure of the algebra generated by 1 , ..., r as soon as it has the ``right