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http://hdl.handle.net/11320/3596
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Endou, Noboru | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:04:21Z | - |
dc.date.available | 2015-12-06T19:04:21Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Formalized Mathematics, Volume 19, Issue 1, 2011, Pages 51-59 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3596 | - |
dc.description.abstract | In this article we introduced the isomorphism mapping between cartesian products of family of linear spaces [4]. Those products had been formalized by two different ways, i.e., the way using the functor [:X, Y:] and ones using the functor "product". By the same way, the isomorphism mapping was defined between Cartesian products of family of linear normed spaces also. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | Cartesian Products of Family of Real Linear Spaces | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-011-0009-2 | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University, Nagano, Japan | - |
dc.description.Affiliation | Endou Noboru - Nagano National College of Technology, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
dc.description.references | Grzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990. | - |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. | - |
dc.description.references | Nicolas Bourbaki. Topological vector spaces: Chapters 1-5. Springer, 1981. | - |
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dc.description.references | Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990. | - |
dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | - |
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dc.description.references | Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990. | - |
dc.description.references | Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991. | - |
dc.description.references | Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. The product space of real normed spaces and its properties. Formalized Mathematics, 15(3):81-85, 2007, doi:10.2478/v10037-007-0010-y. | - |
dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. | - |
dc.description.references | Jan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991. | - |
dc.description.references | Yasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004. | - |
dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Pigeon hole principle. Formalized Mathematics, 1(3):575-579, 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 | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2011, Volume 19, Issue 1 |
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v10037-011-0009-2.pdf | 267,28 kB | Adobe PDF | Otwórz |
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