| Title:
|
Strict topologies as topological algebras (English) |
| Author:
|
Khurana, Surjit Singh |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
433-437 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $X$ be a completely regular Hausdorff space, $C_{b}(X)$ the space of all scalar-valued bounded continuous functions on $X$ with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally $m$-convex. (English) |
| Keyword:
|
strict topologies |
| Keyword:
|
locally convex algebras |
| Keyword:
|
locally $m$-convex algebras |
| MSC:
|
28B05 |
| MSC:
|
28C15 |
| MSC:
|
46E10 |
| MSC:
|
46E25 |
| MSC:
|
46G10 |
| MSC:
|
46H05 |
| MSC:
|
46J10 |
| idZBL:
|
Zbl 0983.46025 |
| idMR:
|
MR1844321 |
| . |
| Date available:
|
2009-09-24T10:43:53Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127658 |
| . |
| 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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[10] H. H. Schaeffer: Topological Vector Spaces.Springer-Verlag, 1986. |
| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
