Note on linearity of rearrangement-invariant spaces

Filip Soudský

doi:10.1215/20088752-3462497

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Home > Journals > Ann. Funct. Anal. > Volume 7 > Issue 2 > Article

May 2016 Note on linearity of rearrangement-invariant spaces

Filip Soudský

Ann. Funct. Anal. 7(2): 232-239 (May 2016). DOI: 10.1215/20088752-3462497

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Abstract

For some rearrangement-invariant functional $\Vert \cdot\Vert _{X}$ having the lattice property, we give a characterization of linearity of the set $\{f:\Vert f\Vert _{X}\lt \infty\}$ . Afterwards we apply this general abstract theorem in the case of Orlicz–Lorentz spaces.

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Filip Soudský. "Note on linearity of rearrangement-invariant spaces." Ann. Funct. Anal. 7 (2) 232 - 239, May 2016. https://doi.org/10.1215/20088752-3462497