On Minimal and Maximal p-operator Space Structures


Oztop S. , Spronk N.

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, cilt.57, sa.1, ss.166-177, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.4153/cmb-2012-030-7
  • Dergi Adı: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
  • Sayfa Sayıları: ss.166-177

Özet

We show that L-infinity(mu), in its capacity as multiplication operators on L-P(mu), is minimal as a p-operator space for a decomposable measure mu. We conclude that L-1(mu) has a certain maximal type p-operator space structure that facilitates computations with L-1(mu) and the projective tensor product.