| Title:
|
Denjoy integral and Henstock-Kurzweil integral in vector lattices. II (English) |
| Author:
|
Kawasaki, Toshiharu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
401-417 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals. (English) |
| Keyword:
|
derivative |
| Keyword:
|
Denjoy integral |
| Keyword:
|
Henstock-Kurzweil integral |
| Keyword:
|
fundamental theorem of calculus |
| Keyword:
|
vector lattice |
| Keyword:
|
Riesz space |
| MSC:
|
26A39 |
| MSC:
|
46B42 |
| MSC:
|
46G05 |
| MSC:
|
46G10 |
| MSC:
|
46G12 |
| idZBL:
|
Zbl 1224.46084 |
| idMR:
|
MR2532374 |
| . |
| Date available:
|
2010-07-20T15:15:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140488 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/140487 |
| . |
| 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:
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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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| . |
