The completely continuous property in Orlicz spaces.
Bor-Luh Lin, Zhongrui Shi (1997)
Collectanea Mathematica
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We show that in Orlicz spaces equipped with Luxemburg norm and Orlicz norm, the RNP, CCP, PCP and CPCP are equivalent.
Bor-Luh Lin, Zhongrui Shi (1997)
Collectanea Mathematica
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We show that in Orlicz spaces equipped with Luxemburg norm and Orlicz norm, the RNP, CCP, PCP and CPCP are equivalent.
Zhongrui Shi, Tingfu Wang (1996)
Collectanea Mathematica
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We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.
Ghassan Alherk (1990)
Commentationes Mathematicae Universitatis Carolinae
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Grzegorz Lewicki (1997)
Collectanea Mathematica
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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.
Henryk Hudzik (1985)
Studia Mathematica
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Henryk. Hudzik, Cong Xin Wu, Yi Ning Ye (1994)
Revista Matemática de la Universidad Complutense de Madrid
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Henryk Hudzik, Zenon Zbaszyniak (1997)
Collectanea Mathematica
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A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.
Eleni Katirtzoglou (1997)
Collectanea Mathematica
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