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

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We prove a theorem, which generalises C. Franchetti’s estimate for the norm of a projection onto a rich subspace of $$L^p([0, 1])$$ L p ( [ 0 , 1 ]… Click to show full abstract

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

Keywords: math; mrow mml; mml; mml mml; mml mrow

Journal Title: Archiv der Mathematik
Year Published: 2020

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