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dc.contributor.authorOkazaki, Hiroyuki-
dc.contributor.authorMieno, Takehiko-
dc.date.accessioned2026-02-02T12:56:03Z-
dc.date.available2026-02-02T12:56:03Z-
dc.date.issued2025-
dc.identifier.citationFormalized Mathematics, Volume 33, Issue 1, Pages 231-236pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/19738-
dc.description.abstractIn this article, we first formalize the weak sequential compactness in dual normed spaces; then we prove the separable version of Banach– Alaoglu theorem.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rightsAttribution-ShareAlike 4.0 International (CC BY-SA 4.0)pl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/pl
dc.subjectdual spacepl
dc.subjectorthonormal complementpl
dc.subjectminimum norm problempl
dc.titleFormalization of Separable Version of Banach–Alaoglu Theorempl
dc.typeArticlepl
dc.rights.holder2025 The Author(s)pl
dc.rights.holderCC BY-SA 4.0 licensepl
dc.identifier.doi10.2478/forma-2025-0018-
dc.description.AffiliationHiroyuki Okazaki - Shinshu University, Nagano, Japanpl
dc.description.AffiliationTakehiko Mieno - Shinshu University, Epson Avasys Corporation, Nagano, Japanpl
dc.description.referencesSylvie Boldo, Catherine Lelay, and Guillaume Melquiond. Formalization of real analysis: a survey of proof assistants and libraries. Mathematical Structures in Computer Science, pages 1–38, 2014.pl
dc.description.referencesSylvie Boldo, Francois Clement, Florian Faissole, Vincent Martin, and Micaela Mayero. A Coq formal proof of the Lax-Milgram theorem. In Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs, CPP 2017, pages 79–89, New York, NY, USA, 2017. Association for Computing Machinery. doi:10.1145/3018610.3018625.pl
dc.description.referencesAdam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.pl
dc.description.referencesJohannes Holzl, Fabian Immler, and Brian Huffman. Type classes and filters for mathematical analysis in Isabelle/HOL. In Interactive Theorem Proving, pages 279–294. Springer, 2013.pl
dc.description.referencesIsao Miyadera. Functional Analysis. Riko-Gaku-Sya, 1972.pl
dc.description.referencesKazuhisa Nakasho, Yuichi Futa, and Yasunari Shidama. Implicit function theorem. Part I. Formalized Mathematics, 25(4):269–281, 2017. doi:10.1515/forma-2017-0026.pl
dc.description.referencesLawrence Narici and Edward Beckenstein. Topological Vector Spaces. Chapman and Hall/CRC, 2010. doi:10.1201/9781584888673.pl
dc.description.referencesKeiko Narita, Noboru Endou, and Yasunari Shidama. Weak convergence and weak convergence. Formalized Mathematics, 23(3):231–241, 2015. doi:10.1515/forma-2015-0019.pl
dc.description.referencesColin Rothgang, Artur Korniłowicz, and Florian Rabe. A new export of the Mizar Mathematical Library. In Fairouz Kamareddine and Claudio Sacerdoti Coen, editors, Intelligent Computer Mathematics, pages 205–210, Cham, 2021. Springer International Publishing. doi:10.1007/978-3-030-81097-9 17.pl
dc.description.referencesWalter Rudin. Functional Analysis. New York, McGraw-Hill, 2nd edition, 1991.pl
dc.description.referencesLaurent Schwartz. Cours d’analyse. Hermann, 1981.pl
dc.description.referencesKosaku Yosida. Functional Analysis. Springer, 1980.pl
dc.identifier.eissn1898-9934-
dc.description.volume33pl
dc.description.issue1pl
dc.description.firstpage231pl
dc.description.lastpage236pl
dc.identifier.citation2Formalized Mathematicspl
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