Norming points and unique minimality of orthogonal projections

Boris Shekhtman and Lesław Skrzypek

Abstract and Applied Analysis, 2006, vol. 2006, 1-17

Abstract:

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 .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:042305

DOI: 10.1155/AAA/2006/42305

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