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A Nonstandard Proof of the Banach-Steinhaus Theorem
Vera Sereno, Edith M.
Vera Mendoza, Rigoberto
2009
Abstract
The Banach-Steinhaus theorem, also known as
Uniform Boundedness Principle, has a standard proof a little bit too long. In this article we will give a real short proof using the nonstandard analysis technique.
Series
Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics
40 (2008)
Publisher
EUT - Edizioni Università di Trieste
Source
Vera Sereno, Edith M.; Vera Mendoza, Rigoberto, "A Nonstandard Proof of the Banach-Steinhaus Theorem" in 'Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics', 40 (2008), pp.185-188
Languages
en
File(s)