Uniform Boundedness Principle

Sakurai, Hideki; Kunimune, Hisayoshi; Shidama, Yasunari

doi:10.2478/v10037-008-0003-5

Abstract

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

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Uniform Boundedness Principle

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