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dc.contributor.authorSakurai, Hideki-
dc.contributor.authorKunimune, Hisayoshi-
dc.contributor.authorShidama, Yasunari-
dc.date.accessioned2026-07-31T09:10:34Z-
dc.date.available2026-07-31T09:10:34Z-
dc.date.issued2008-
dc.identifier.citationFormalized Mathematics, Volume 16, Issue 1, Pages 19-21pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/20706-
dc.description.abstractInthisarticle at first, we proved the lemma of the inferior limit and the superior limit. Next, we proved the Baire category theorem (Banach space version) [20], [9], [3], quoted it and proved the uniform boundedness principle. Moreover, the proof of the Banach-Steinhaus theorem is added.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rightsAttribution-ShareAlike 4.0 International (CC BY-SA 4.0)-
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleUniform Boundedness Principlepl
dc.typeArticlepl
dc.rights.holder© 2009 Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons License.pl
dc.identifier.doi10.2478/v10037-008-0003-5-
dc.description.AffiliationHideki Sakurai - Shinshu University Nagano, Japanpl
dc.description.AffiliationHisayoshi Kunimune - Shinshu University Nagano, Japanpl
dc.description.AffiliationYasunari Shidama - Shinshu University Nagano, Japanpl
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
dc.description.referencesCzesław Byliński. Introduction to real linear topological spaces. Formalized Mathematics, 13(1):99–107, 2005.pl
dc.description.referencesN. J. Dunford and T. Schwartz. Linear operators I. Interscience Publ., 1958.pl
dc.description.referencesNoboru Endou, Yasunari Shidama, and Katsumasa Okamura. Baire’s category theorem and some spaces generated from real normed space. Formalized Mathematics, 14(4):213-219, 2006.pl
dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35–40, 1990.pl
dc.description.referencesStanisława Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Formalized Mathematics, 1(3):607–610, 1990.pl
dc.description.referencesJarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273–275, 1990.pl
dc.description.referencesJarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269–272, 1990.pl
dc.description.referencesIsao Miyadera. Functional Analysis. Riko-Gaku-Sya, 1972.pl
dc.description.referencesAndrzej Nędzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401–407, 1990.pl
dc.description.referencesTakaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269–275, 2004.pl
dc.description.referencesBeata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223–230, 1990.pl
dc.description.referencesJan Popiołek. Real normed space. Formalized Mathematics, 2(1):111–115, 1991.pl
dc.description.referencesYasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39–48, 2004.pl
dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329–334, 1990.pl
dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291–296, 1990.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73–83, 1990.pl
dc.description.referencesMirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231–237, 1990.pl
dc.description.referencesKosaku Yoshida. Functional Analysis. Springer, 1980.pl
dc.description.referencesBo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Inferior limit and superior limit of sequences of real numbers. Formalized Mathematics, 13(3):375–381, 2005.pl
dc.identifier.eissn1898-9934-
dc.description.volume16pl
dc.description.issue1pl
dc.description.firstpage19pl
dc.description.lastpage21pl
dc.identifier.citation2Formalized Mathematicspl
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