Abstract

We study the norming points and norming functionals of symmetric operators on Lp spaces for p = 2m or p = 2m/(2m − 1). We prove some general result relating uniqueness of minimal projection to the set of norming functionals. As a main application, we obtain that the Fourier projection onto span[1,sinx, cosx] is a unique minimal projection in Lp. Copyright © 2006 B. Shekhtman and L. Skrzypek. This is an open access article distrib-uted under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1.