Geodesic
A useful algebra for functional calculus
Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 99-112.

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We show that some unital complex commutative LF-algebra of ${\mathcal {C}}^{(\infty )}$ $\mathbb {N}$-tempered functions on $\mathbb {R}^+$ (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.
DOI : 10.21136/MB.2018.0063-17
Classification : 46A08, 46A13, 46A17, 47A60
Keywords: bornology; inductive limit; Fréchet space; functional calculus 
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Hemdaoui, Mohammed. A useful algebra for functional calculus. Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 99-112. doi : 10.21136/MB.2018.0063-17. http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0063-17/

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