Finite-dimensional normed spaces
Functional analysis - Part 1

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Finite-dimensional normed spaces


Functional analysis - Part 1

Author : Gilles GODEFROY

Publication date: April 10, 2003, Review date: November 19, 2019 | Lire en français

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1. Finite-dimensional normed spaces

Let N 1 and N 2 be two norms on the same vector space E. We say that N 1 and N 2 are equivalent if there exist α > 0 and β > 0 such that : αN1(x)N2(x)βN1(x)

for all x

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