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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

eISSN:
1898-9934
ISSN:
1426-2630
Langue:
Anglais
Périodicité:
4 fois par an
Sujets de la revue:
Computer Sciences, other, Mathematics, General Mathematics