Sums of norm spheres are norm shells and lower triangle inequalities are sharp
classification
🧮 math.CA
keywords
normanalysisboundschapterconnectiondieudonnelementaryexercise
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.