On non-solid Köthe space of type
Ryszard Płuciennik (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Isometries of Musielak-Orlicz spaces II”
On non-solid Köthe space of type
Some basic properties of generalized Calderon-Lozanovskiî.
Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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Copies of and in Musielak-Orlicz sequence spaces
Ghassan Alherk, Henryk Hudzik (1994)
Commentationes Mathematicae Universitatis Carolinae
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Criteria in order that a Musielak-Orlicz sequence space contains an isomorphic as well as an isomorphically isometric copy of are given. Moreover, it is proved that if , where are defined on a Banach space, does not satisfy the -condition, then the Musielak-Orlicz sequence space of -valued sequences contains an almost isometric copy of . In the case of it is proved also that if contains an isomorphic copy of , then does not satisfy the -condition. These results...
A characterization of Orlicz spaces isometric to Lp-spaces.
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.
Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.
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.
On the non- and locally uniformly non- properties, and copies in Musielak-Orlicz spaces
Ghassan Alherk (1990)
Commentationes Mathematicae Universitatis Carolinae
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Comparison of Orlicz-Lorentz spaces
S. Montgomery-Smith (1992)
Studia Mathematica
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Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastyło, Maligranda, and Kamińska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent. As a corollary, we give necessary and sufficient conditions for a Lorentz-Sharpley space to be equivalent to an Orlicz space, extending results of Lorentz and...