Abstract and Applied Analysis
Volume 2006 (2006), Article ID 42305, 17 pages
doi:10.1155/AAA/2006/42305
Norming points and unique minimality of orthogonal projections
Boris Shekhtman
and LesŁaw Skrzypek
Department of Mathematics, University of South Florida, 4202 E. Fowler Avenue, PHY 114, Tampa 33620-5700, FL, USA
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.