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Continuity of Multilinear Operator on Normed Linear Spaces


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[1] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.10.1007/978-3-319-20615-8_17Open DOISearch in Google Scholar

[2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.10.1007/s10817-017-9440-6604425130069070Open DOISearch in Google Scholar

[3] 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.10.2478/v10037-007-0010-yOpen DOISearch in Google Scholar

[4] Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.10.1007/s10817-015-9345-1Open DOISearch in Google Scholar

[5] Miyadera Isao. Functional Analysis. Riko-Gaku-Sya, 1972.Search in Google Scholar

[6] Kazuhisa Nakasho, Yuichi Futa, and Yasunari Shidama. Implicit function theorem. Part I. Formalized Mathematics, 25(4):269–281, 2017. doi:10.1515/forma-2017-0026.10.1515/forma-2017-0026Open DOISearch in Google Scholar

[7] Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269–275, 2004.Search in Google Scholar

[8] Laurent Schwartz. Théorie des ensembles et topologie, tome 1. Analyse. Hermann, 1997.Search in Google Scholar

[9] Laurent Schwartz. Calcul différentiel, tome 2. Analyse. Hermann, 1997.Search in Google Scholar

[10] Yasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39–48, 2004.Search in Google Scholar

[11] Kosaku Yoshida. Functional Analysis. Springer, 1980.Search in Google Scholar

eISSN:
1898-9934
ISSN:
1426-2630
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Computer Sciences, other, Mathematics, General Mathematics