| Title:
|
A Borel extension approach to weakly compact operators on $C_0(T)$ (English) |
| Author:
|
Panchapagesan, T. V. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
97-115 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $X$ be a quasicomplete locally convex Hausdorff space. Let $T$ be a locally compact Hausdorff space and let $C_0(T) = \lbrace f\: T \rightarrow I$, $f$ is continuous and vanishes at infinity$\rbrace $ be endowed with the supremum norm. Starting with the Borel extension theorem for $X$-valued $\sigma $-additive Baire measures on $T$, an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map $u\: C_0(T) \rightarrow X$ to be weakly compact. (English) |
| MSC:
|
28B05 |
| MSC:
|
46G10 |
| MSC:
|
47B07 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 0996.47041 |
| idMR:
|
MR1885460 |
| . |
| Date available:
|
2009-09-24T10:49:29Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127705 |
| . |
| 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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| Reference:
|
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| Reference:
|
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| Reference:
|
[13] T. V. Panchapagesan: Characterizations of weakly compact operators on $C_0(T)$.Trans. Amer. Math. Soc. (1998), 4549–4567. Zbl 0906.47021 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
