Sums of norm spheres are norm shells and lower triangle inequalities are sharp

Details Sums of norm spheres are norm shells and lower triangle inequalities are sharp Sums of norm spheres are norm shells and lower triangle inequalities are sharp

2008-05-02

arxiv.org/abs/0805.0314v3

Mathematics

Classical Analysis and ODEs

6 pages. New additional introduction explaining connection to recent moment bounds for submartingales. This version accepted f

Scientific paper

The statements in the title are explained and proved, as a little exercise in
elementary normed vector space theory at the level of Chapter 5 of
Dieudonn\'e's "Foundations of Mathematical Analysis". A connection to recent
moment bounds for submartingales is sketched.

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