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http://hdl.handle.net/11320/7838
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Nakasho, Kazuhisa | - |
dc.date.accessioned | 2019-05-21T07:18:01Z | - |
dc.date.available | 2019-05-21T07:18:01Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Formalized Mathematics, Volume 27, Issue 1, Pages 35-45 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.uri | http://hdl.handle.net/11320/7838 | - |
dc.description.abstract | In the first chapter, the notion of multilinear operator on real linear spaces is discussed. The algebraic structure [2] of multilinear operators is introduced here. In the second chapter, the results of the first chapter are extended to the case of the normed spaces. This chapter shows that bounded multilinear operators on normed linear spaces constitute the algebraic structure. We referred to [3], [7], [5], [6] in this formalization. | - |
dc.language.iso | en | - |
dc.publisher | DeGruyter Open | - |
dc.subject | Lipschitz continuity | - |
dc.subject | bounded linear operators | - |
dc.subject | bilinear operators | - |
dc.subject | algebraic structure | - |
dc.subject | Banach space | - |
dc.title | Multilinear Operator and Its Basic Properties | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/forma-2019-0004 | - |
dc.description.Affiliation | Yamaguchi University, Yamaguchi, Japan | - |
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 | Adam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. On algebraic hierarchies in mathematical repository of Mizar. In M. Ganzha, L. Maciaszek, and M. Paprzycki, editors, Proceedings of the 2016 Federated Conference on Computer Science and Information Systems (FedCSIS), volume 8 of Annals of Computer Science and Information Systems, pages 363–371, 2016. doi:10.15439/2016F520. | - |
dc.description.references | Miyadera Isao. Functional Analysis. Riko-Gaku-Sya, 1972. | - |
dc.description.references | Marco Riccardi. Pocklington’s theorem and Bertrand’s postulate. Formalized Mathematics, 14(2):47–52, 2006. doi:10.2478/v10037-006-0007-y. | - |
dc.description.references | Laurent Schwartz. Théorie des ensembles et topologie, tome 1. Analyse. Hermann, 1997. | - |
dc.description.references | Laurent Schwartz. Calcul différentiel, tome 2. Analyse. Hermann, 1997. | - |
dc.description.references | Kosaku Yoshida. Functional Analysis. Springer, 1980. | - |
dc.identifier.eissn | 1898-9934 | - |
dc.description.volume | 27 | - |
dc.description.issue | 1 | - |
dc.description.firstpage | 35 | - |
dc.description.lastpage | 45 | - |
dc.identifier.citation2 | Formalized Mathematics | - |
dc.identifier.orcid | 0000-0003-1110-4342 | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2019, Volume 27, Issue 1 |
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forma_2019_27_1_004.pdf | 242,81 kB | Adobe PDF | Otwórz |
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