Uniform Boundedness Principle
Hideki Sakurai ; Hisayoshi Kunimune ; Yasunari Shidama
Formalized Mathematics, Tome 16 (2008), p. 19-21 / Harvested from The Polish Digital Mathematics Library

In this article 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.MML identifier: LOPBAN 5, version: 7.8.05 4.89.993

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:266597
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     author = {Hideki Sakurai and Hisayoshi Kunimune and Yasunari Shidama},
     title = {Uniform Boundedness Principle},
     journal = {Formalized Mathematics},
     volume = {16},
     year = {2008},
     pages = {19-21},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0003-5}
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Hideki Sakurai; Hisayoshi Kunimune; Yasunari Shidama. Uniform Boundedness Principle. Formalized Mathematics, Tome 16 (2008) pp. 19-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0003-5/

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