Invariant Subsets and Homological Properties of Orlicz Modules over Group Algebras

ÜSTER R., Oztop S.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.24, sa.4, ss.959-973, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.11650/tjm/190903
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.959-973
  • Anahtar Kelimeler: locally compact group, Orlicz space, invariant set, convex set, group algebra, Banach module, projectivity, injectivity, flatness, compact multiplier
  • İstanbul Üniversitesi Adresli: Evet

Özet

Let G be a locally compact group with left Haar measure. We study the closed convex left invariant subsets of L-Phi(G) and characterize affine mappings from the space of nonnegative functions in L-1(G) of norm 1 into L-Phi(G) spaces. We apply the results to the study of the multipliers of L-Phi(G). We also investigate the homological properties of L-Phi(G) as a Banach left L-1(G)-module such as projectivity, injectivity and flatness.