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http://hdl.handle.net/11320/3659
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Pole DC | Wartość | Język |
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dc.contributor.author | Watase, Yasushige | - |
dc.contributor.author | Endou, Noboru | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:06:10Z | - |
dc.date.available | 2015-12-06T19:06:10Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Formalized Mathematics, Volume 20, Issue 4, 2012, Pages 349-357 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3659 | - |
dc.description.abstract | In this article, we formalized L1 space formed by complexvalued partial functions [11], [15]. The real-valued case was formalized in [22] and this article is its generalization. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | On L1 Space Formed by Complex-Valued Partial Functions | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-012-0039-4 | - |
dc.description.Affiliation | Watase Yasushige - 3-21-6 Suginami Tokyo, Japan | - |
dc.description.Affiliation | Endou Noboru - Gifu National College of Technology, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University Nagano, Japan | - |
dc.description.references | Jonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565-582, 2001. | - |
dc.description.references | Józef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173-183, 1991. | - |
dc.description.references | Józef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263-270, 1991. | - |
dc.description.references | Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | - |
dc.description.references | Czesław Bylinski. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990. | - |
dc.description.references | Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | - |
dc.description.references | Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | - |
dc.description.references | Czesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. | - |
dc.description.references | Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Noboru Endou. Complex linear space and complex normed space. Formalized Mathematics, 12(2):93-102, 2004. | - |
dc.description.references | P. R. Halmos. Measure Theory. Springer-Verlag, 1974. | - |
dc.description.references | Jarosław Kotowicz and Yuji Sakai. Properties of partial functions from a domain to the set of real numbers. Formalized Mathematics, 3(2):279-288, 1992. | - |
dc.description.references | Keiko Narita, Noboru Endou, and Yasunari Shidama. Integral of complex-valued measurable function. Formalized Mathematics, 16(4):319-324, 2008, doi:10.2478/v10037-008-0039-6. | - |
dc.description.references | Andrzej Nedzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401-407, 1990. | - |
dc.description.references | Walter Rudin. Real and Complex Analysis. Mc Graw-Hill, Inc., 1974. | - |
dc.description.references | Yasunari Shidama and Noboru Endou. Integral of real-valued measurable function. Formalized Mathematics, 14(4):143-152, 2006, doi:10.2478/v10037-006-0018-8. | - |
dc.description.references | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. | - |
dc.description.references | Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003. | - |
dc.description.references | Andrzej Trybulec and Agata Darmochwał. Boolean domains. Formalized Mathematics, 1(1):187-190, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. | - |
dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
dc.description.references | Yasushige Watase, Noboru Endou, and Yasunari Shidama. On L1 space formed by real-valued partial functions. Formalized Mathematics, 16(4):361-369, 2008, doi:10.2478/v10037-008-0044-9. | - |
dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. | - |
dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2012, Volume 20, Issue 4 |
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v10037-012-0039-4.pdf | 290,26 kB | Adobe PDF | Otwórz |
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