Weak amenability of weighted Orlicz algebras

Oztop S., Samei E., Shepelska V.

ARCHIV DER MATHEMATIK, cilt.110, sa.4, ss.363-376, 2018 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 110 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s00013-017-1119-z
  • Dergi Adı: ARCHIV DER MATHEMATIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.363-376
  • İstanbul Üniversitesi Adresli: Evet

Özet

Let G be a locally compact abelian group, be a weight, and () be a complementary pair of strictly increasing continuous Young functions. We show that for the weighted Orlicz algebra , the weak amenability is obtained under conditions similar to the ones considered in Zhang (Proc Amer Math Soc 142:1649-1661, 2014) for weighted group algebras. Our methods can be applied to various families of weighted Orlicz algebras, including weighted -spaces.