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http://hdl.handle.net/11320/19679Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Endou, Noboru | - |
| dc.contributor.author | Shidama, Yasunari | - |
| dc.date.accessioned | 2026-01-29T07:46:48Z | - |
| dc.date.available | 2026-01-29T07:46:48Z | - |
| dc.date.issued | 2025 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 33, Issue 1, Pages 117-135 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/19679 | - |
| dc.description.abstract | This paper deals with Cartesian product spaces of real linear spaces and Cartesian product spaces of real normed spaces. In principle, both are attributed to the direct product of real linear spaces, but the direct product of normed spaces is needed to deal with the calculus of n-dimensional spaces. We also prove that the Lebesgue measure on tuple-type sets introduced in [6] is σ-finite. | pl |
| dc.description.sponsorship | This work was supported by JSPS KAKENHI Grant Number 23K11242. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) | pl |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | pl |
| dc.subject | product measure | pl |
| dc.subject | Lebesgue integration | pl |
| dc.subject | measure on n-dimensional normed space | pl |
| dc.title | Measure for Product Space of Real Normed Spaces | pl |
| dc.type | Article | pl |
| dc.rights.holder | 2025 The Author(s) | pl |
| dc.rights.holder | CC BY-SA 4.0 license | pl |
| dc.identifier.doi | 10.2478/forma-2025-0010 | - |
| dc.description.Affiliation | Noboru Endou - National Institute of Technology, Gifu College, 2236-2 Kamimakuwa, Motosu, Gifu, Japan | pl |
| dc.description.Affiliation | Yasunari Shidama - Karuizawa Hotch 244-1, Nagano, Japan | pl |
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| dc.description.references | Noboru Endou. Reconstruction of the one-dimensional Lebesgue measure. Formalized Mathematics, 28(1):93–104, 2020. doi:10.2478/forma-2020-0008. | pl |
| dc.description.references | Noboru Endou and Yasunari Shidama. Multidimensional measure space and integration. Formalized Mathematics, 31(1):181–192, 2023. doi:10.2478/forma-2023-0017. | pl |
| dc.description.references | Noboru Endou and Yasunari Shidama. Universality of measure space. Formalized Mathematics, 32(1):149–163, 2024. doi:10.2478/forma-2024-0012. | pl |
| dc.description.references | Noboru Endou and Yasunari Shidama. Integral of continuous functions of two variables. Formalized Mathematics, 31(1):309–324, 2023. doi:10.2478/forma-2023-0025. | pl |
| dc.description.references | Noboru Endou and Yasunari Shidama. Integral of continuous three variable functions. Formalized Mathematics, 32(1):9–31, 2024. doi:10.2478/forma-2024-0002. | pl |
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| dc.description.references | Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269–275, 2004. | pl |
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| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 33 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 117 | pl |
| dc.description.lastpage | 135 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| dc.identifier.orcid | 0000-0002-5922-2332 | - |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2025, Volume 33, Issue 1 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| Measure_for_Product_Space_of_Real_Normed_Spaces.pdf | 296,9 kB | Adobe PDF | Otwórz |
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