| Title:
|
Integral multilinear forms on $C(K,X)$ spaces (English) |
| Author:
|
Villanueva, Ignacio |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
373-378 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We use polymeasures to characterize when a multilinear form defined on a product of $C(K,X)$ spaces is integral. (English) |
| Keyword:
|
integral multilinear forms |
| Keyword:
|
spaces of continuous functions |
| Keyword:
|
injective tensor product |
| MSC:
|
46B28 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 1080.46509 |
| idMR:
|
MR2059257 |
| . |
| Date available:
|
2009-09-24T11:13:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127894 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] F. Bombal, I. Villanueva: Integral operators on $C(K)$ spaces.J. Math. Anal. Appl. 264 (2001), 107–121. MR 1868331, 10.1006/jmaa.2001.7648 |
| 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:
|
[9] B. Jefferies: Radon polymeasures.Bull. Austral. Math. Soc. 32 (1985), 207–215. Zbl 0577.28002, MR 0815364, 10.1017/S0004972700009904 |
| Reference:
|
[10] B. Jefferies, W. Ricker: Integration with respect to vector valued radon polymeasures.J. Austral. Math. Soc. (Series A) 56 (1994), 17–40. MR 1250991, 10.1017/S1446788700034716 |
| Reference:
|
[11] P. Saab: Integral operators on spaces of continuous vector-valued measures.Proc. Amer. Math. Soc. 111 (1991), 1003–1013. MR 1039263, 10.1090/S0002-9939-1991-1039263-5 |
| Reference:
|
[12] I. Villanueva: Multilinear operators in spaces of continuous functions.Czechoslovak Math. J 54 (129) (2004), 31–54. MR 2040217, 10.1023/B:CMAJ.0000027245.95757.ee |
| . |
