An estimate for narrow operators on Lp([0,1])L^p([0, 1])

preprint2020arXivOpen access

Abstract

We prove a theorem, which generalises C. Franchetti's estimate for the norm of a projection onto a rich subspace of Lp([0,1])L^p([0, 1]) and the authors' related estimate for compact operators on Lp([0,1])L^p([0, 1]), 1≤p<∞1 \le p < \infty.

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