| Title:
|
Equicontinuity of power maps in locally pseudo-convex algebras (English) |
| Author:
|
El Kinani, A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
91-98 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that, in any unitary (commutative or not) Baire locally pseudo-convex algebra with a continuous product, the power maps are equicontinuous at zero if all entire functions operate. We obtain the same conclusion if every element is bounded. An immediate consequence is a result of A. Arosio on commutative and complete metrizable locally convex algebras. (English) |
| Keyword:
|
locally pseudo-convex algebra |
| Keyword:
|
continuous product |
| Keyword:
|
$m$-$p$-convexity |
| Keyword:
|
Baire space |
| Keyword:
|
power maps |
| MSC:
|
46H05 |
| MSC:
|
46J05 |
| idZBL:
|
Zbl 1103.46023 |
| idMR:
|
MR2045848 |
| . |
| Date available:
|
2009-01-08T19:27:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119370 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
