Mathematica Bohemica, Vol. 144, No. 1, pp. 99-112, 2019


A useful algebra for functional calculus

Mohammed Hemdaoui

Received June 16, 2017.   Published online June 6, 2018.

Abstract:  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.
Keywords:  bornology; inductive limit; Fréchet space; functional calculus
Classification MSC:  46A08, 46A13, 46A17, 47A60


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Affiliations:   Mohammed Hemdaoui, Laboratoire Analyse Géométrie et Applications (LAGA), Université Mohamed Premier, Faculté des Sciences, Département de Mathématiques, Oujda, Maroc, e-mail: mhemdaoui@yahoo.fr


 
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