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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.40 (2008)
  6. A Nonstandard Proof of the Banach-Steinhaus Theorem
 
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A Nonstandard Proof of the Banach-Steinhaus Theorem

Vera Sereno, Edith M.
•
Vera Mendoza, Rigoberto
2009
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ISSN
00494704
http://hdl.handle.net/10077/3340
  • Article

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)
Subjects
  • Banach-Steinhaus Theo...

  • Nonstandard Analysis

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
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