| Title:
|
A useful algebra for functional calculus (English) |
| Author:
|
Hemdaoui, Mohammed |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
144 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
99-112 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
bornology |
| Keyword:
|
inductive limit |
| Keyword:
|
Fréchet space |
| Keyword:
|
functional calculus |
| MSC:
|
46A08 |
| MSC:
|
46A13 |
| MSC:
|
46A17 |
| MSC:
|
47A60 |
| idZBL:
|
Zbl 07088838 |
| idMR:
|
MR3934200 |
| DOI:
|
10.21136/MB.2018.0063-17 |
| . |
| Date available:
|
2019-03-21T12:33:07Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147641 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[3] Buchwalter, H.: Espaces vectoriels bornologiques.Publ. Dép. Math., Lyon 2 (1965), 2-53 French. Zbl 0137.09303, MR 0188747 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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[7] Hemdaoui, M.: An application of Mittag-Leffler lemma to the L.F algebra of $\mathcal{C}^{(\infty)}$ $\mathbb{N}$-tempered functions on $\mathbb{R}^+$.Sarajevo J. Math. 13 (2017), 61-70. MR 3666352, 10.5644/SJM.13.1.04 |
| Reference:
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[8] Hogbe-Nlend, H.: Complétion, tenseurs et nucléarité en bornologie.J. Math. Pures Appl., IX. Sér. 49 (1970), 193-288 French. Zbl 0199.18001, MR 0279557 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
