| Title:
|
Product of vector measures on topological spaces (English) |
| Author:
|
Khurana, Surjit Singh |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
421-435 |
| . |
| Category:
|
math |
| . |
| Summary:
|
For $i=(1,2)$, let $X_{i}$ be completely regular Hausdorff spaces, $E_{i}$ quasi-complete locally convex spaces, $E=E_{1}\Breve{\otimes }E_{2}$, the completion of the their injective tensor product, $C_{b}(X_{i})$ the spaces of all bounded, scalar-valued continuous functions on $X_{i}$, and $\mu_{i}$ $E_{i}$-valued Baire measures on $X_{i}$. Under certain conditions we determine the existence of the $E$-valued product measure $\mu_{1}\otimes \mu_{2}$ and prove some properties of these measures. (English) |
| Keyword:
|
injective tensor product |
| Keyword:
|
product of measures |
| Keyword:
|
tight measures |
| Keyword:
|
$\tau$-smooth measures |
| Keyword:
|
separable measures |
| Keyword:
|
Fubini theorem |
| MSC:
|
28B05 |
| MSC:
|
28C05 |
| MSC:
|
28C15 |
| MSC:
|
46A08 |
| MSC:
|
46E10 |
| MSC:
|
46G10 |
| MSC:
|
46G12 |
| MSC:
|
60B05 |
| idZBL:
|
Zbl 1212.46064 |
| idMR:
|
MR2490437 |
| . |
| Date available:
|
2009-05-05T17:12:09Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119733 |
| . |
| 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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| . |
