NORMING POINTS AND UNIQUE MINIMALITY OF ORTHOGONAL PROJECTIONS

We study the norming points and norming functionals of symmetric operators on L p spaces for p = 2 m or p = 2 m /(2 m − 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...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2006-01, Vol.2006 (1), p.619-635
Main Authors: Shekhtman, Boris, Skrzypek, Lesław
Format: Article
Language:English
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Summary:We study the norming points and norming functionals of symmetric operators on L p spaces for p = 2 m or p = 2 m /(2 m − 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, sin⁡ x , cos⁡ x ] is a unique minimal projection in L p .
ISSN:1085-3375
1687-0409
DOI:10.1155/AAA/2006/42305