Uniform Boundedness Principle

• Autorzy: Hideki Sakurai , Hisayoshi Kunimune , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 1
• Strony: 19-21

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Hideki Sakurai

• Shinshu University, Nagano, Japan

autor

Hisayoshi Kunimune

• Shinshu University, Nagano, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-008-0003-5