| Title:
|
A further investigation for Egoroff's theorem with respect to monotone set functions (English) |
| Author:
|
Li, Jun |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
6 |
| Year:
|
2003 |
| Pages:
|
[753]-760 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality. (English) |
| Keyword:
|
non-additive measure |
| Keyword:
|
monotone set function |
| Keyword:
|
condition (E) |
| Keyword:
|
Egoroff's theorem |
| MSC:
|
06F05 |
| MSC:
|
15A06 |
| MSC:
|
26E25 |
| MSC:
|
28A10 |
| MSC:
|
28A20 |
| MSC:
|
37M99 |
| MSC:
|
93B25 |
| idZBL:
|
Zbl 1249.93044 |
| idMR:
|
MR2035649 |
| . |
| Date available:
|
2009-09-24T19:58:38Z |
| Last updated:
|
2015-03-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135570 |
| . |
| 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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| . |
