Norming points and unique minimality of orthogonal projections

Boris Shekhtman and Lesław Skrzypek

Abstract and Applied Analysis, 2006, vol. 2006, issue 1

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, sin⁡x, cos⁡x] is a unique minimal projection in Lp.

Date: 2006
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https://doi.org/10.1155/AAA/2006/42305

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:042305

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