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  • 1 University of Bielsko-Biała Department of Mathematics and Computer Science ul. Willowa 2 43-309 Bielsko-Biała Poland
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We discuss the latticial structure of projection sets and antiprojection sets in Orlicz-Musielak spaces LΦ, with the distance given by modular ρΦ and classical F-norms generated by ρΦ. In particular, we show that the case of Amemiya F-norm is essentially different from others. This extends results given for sets of best approximants by Landers and Rogge, Kilmer and Kozlowski, and Mazzone.

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