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dc.contributor.authorOkazaki, Hiroyuki-
dc.contributor.authorEndou, Noboru-
dc.contributor.authorShidama, Yasunari-
dc.date.accessioned2015-12-06T19:04:21Z-
dc.date.available2015-12-06T19:04:21Z-
dc.date.issued2011-
dc.identifier.citationFormalized Mathematics, Volume 19, Issue 1, 2011, Pages 51-59-
dc.identifier.issn1426-2630-
dc.identifier.issn1898-9934-
dc.identifier.urihttp://hdl.handle.net/11320/3596-
dc.description.abstractIn 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.isoen-
dc.publisherDe Gruyter Open-
dc.titleCartesian Products of Family of Real Linear Spaces-
dc.typeArticle-
dc.identifier.doi10.2478/v10037-011-0009-2-
dc.description.AffiliationOkazaki Hiroyuki - Shinshu University, Nagano, Japan-
dc.description.AffiliationEndou Noboru - Nagano National College of Technology, Japan-
dc.description.AffiliationShidama Yasunari - Shinshu University, Nagano, Japan-
dc.description.referencesGrzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990.-
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.-
dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.-
dc.description.referencesNicolas Bourbaki. Topological vector spaces: Chapters 1-5. Springer, 1981.-
dc.description.referencesCzesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.-
dc.description.referencesCzesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.-
dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.-
dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.-
dc.description.referencesCzesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.-
dc.description.referencesCzesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990.-
dc.description.referencesAgata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.-
dc.description.referencesNoboru 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.referencesBeata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.-
dc.description.referencesJan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.-
dc.description.referencesYasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004.-
dc.description.referencesAndrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.-
dc.description.referencesWojciech A. Trybulec. Pigeon hole principle. Formalized Mathematics, 1(3):575-579, 1990.-
dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.-
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.-
dc.description.referencesEdmund 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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