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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.40 (2008) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/3340
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| Title: | A Nonstandard Proof of the Banach-Steinhaus Theorem |
| Authors: | Vera Sereno, Edith M.
Vera Mendoza, Rigoberto |
| Keywords: | Banach-Steinhaus Theorem
Nonstandard Analysis |
| Issue Date: | 2009 |
| Publisher: | EUT - Edizioni Università di Trieste |
| Citation: | Edith M. Vera Sereno, Rigoberto Vera Mendoza, "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. |
| Series/Report no.: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics
40 (2008) |
| 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. |
| Description: | pp. 185-188 |
| URI: | http://hdl.handle.net/10077/3340 |
| ISSN: | 00494704 |
| MS Classification 2000: | 03H99
46B25 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.40 (2008)
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