Orlicz spaces with -norms that are abstract M-spaces

  • Badik Hüseyin Uysal

    İstanbul University, İstanbul, Turkey
  • Serap Öztop

    İstanbul University, İstanbul, Turkey
Orlicz spaces with $s$-norms that are abstract M-spaces cover
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Abstract

Let be an Orlicz function and the corresponding Orlicz space on a non-atomic, -finite, complete measure space . We describe those Orlicz spaces equipped with -norms that are abstract M-spaces. Our study generalizes and unifies the results that have been obtained for the Orlicz norm, the Luxemburg norm, and the -Amemiya norms separately.

Cite this article

Badik Hüseyin Uysal, Serap Öztop, Orlicz spaces with -norms that are abstract M-spaces. Z. Anal. Anwend. (2024), published online first

DOI 10.4171/ZAA/1764