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http -> https (the question has been bumped anyway)
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Martin Sleziak
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Since I can't (yet) leave a comment to Andres Calceido's answer.

A link to another paper by Luxemburg with a proof of the Hahn-Banach Theorem using ultrapowers http://www.ams.org/bull/1962-68-04/S0002-9904-1962-10824-6/S0002-9904-1962-10824-6.pdfhttps://www.ams.org/bull/1962-68-04/S0002-9904-1962-10824-6/S0002-9904-1962-10824-6.pdf

Since I can't (yet) leave a comment to Andres Calceido's answer.

A link to another paper by Luxemburg with a proof of the Hahn-Banach Theorem using ultrapowers http://www.ams.org/bull/1962-68-04/S0002-9904-1962-10824-6/S0002-9904-1962-10824-6.pdf

Since I can't (yet) leave a comment to Andres Calceido's answer.

A link to another paper by Luxemburg with a proof of the Hahn-Banach Theorem using ultrapowers https://www.ams.org/bull/1962-68-04/S0002-9904-1962-10824-6/S0002-9904-1962-10824-6.pdf

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Since I can't (yet) leave a comment to Andres Calceido's answer.

A link to another paper by Luxemburg with a proof of the Hahn-Banach Theorem using ultrapowers http://www.ams.org/bull/1962-68-04/S0002-9904-1962-10824-6/S0002-9904-1962-10824-6.pdf