Contractive projections in Orlicz sequence spaces.
Randrianantoanina, Beata (2004)
Abstract and Applied Analysis
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Randrianantoanina, Beata (2004)
Abstract and Applied Analysis
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C. Finet, G. Tkebuchava (1996)
Studia Mathematica
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The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.
Y. Raynaud, C. Schütt (1988)
Studia Mathematica
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Francisco L. Hernández, Baltasar Rodríguez Salinas (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Several properties of the class of minimal Orlicz function spaces LF are described. In particular, an explicitly defined class of non-trivial minimal functions is shown, which provides concrete examples of Orlicz spaces without complemented copies of F-spaces.
César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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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.
Ghassan Alherk (1990)
Commentationes Mathematicae Universitatis Carolinae
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