Abstract
It is proved that a weighted Orlicz sequence space ℓ M ( w ) , equipped with Luxemburg or Amemiya norm has weak uniform normal structure iff ℓ M ( w ) ≅ h M ( w ) for wide class of weight sequences w = { w n } n = 1 ∞ . An example is constructed, where M has not Δ 2 -condition but by choosing a suitable weight sequence lim n → ∞ w n = ∞ we get that ℓ M ( w ) has weak uniform normal structure.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.