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On the Cauchy-Schwarz Inequality

✍ Scribed by Horst Alzer

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 223 KB
Volume: 234
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6252

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## Abstract It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy sequences of rationals) are not Cauchy complete. Related results are also shown, such as that a Cauchy sequence of rationals may not have a modulus of c