Riesz’ Lemma

Let E be a normed space, SE a closed proper vector subspace, and 0<α<1. Then there is xαES such that xα=1 and s-xα>α for every sS.

Title Riesz’ Lemma
Canonical name RieszLemma
Date of creation 2013-03-22 14:56:11
Last modified on 2013-03-22 14:56:11
Owner gumau (3545)
Last modified by gumau (3545)
Numerical id 6
Author gumau (3545)
Entry type Theorem
Classification msc 15A03
Classification msc 54E35