Abstract and Applied Analysis
Volume 2006 (2006), Article ID 42305, 17 pages
Norming points and unique minimality of orthogonal projections
Department of Mathematics, University of South Florida, 4202 E. Fowler Avenue, PHY 114, Tampa 33620-5700, FL, USA
Received 5 March 2005; Accepted 6 April 2005
Copyright © 2006 Boris Shekhtman and Lesław Skrzypek. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the norming points and norming functionals of symmetric
operators on spaces for or . 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 is a unique minimal
projection in .