On Minimal and Maximal p-operator Space Structures
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, cilt.57, sa.1, ss.166-177, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 57 Sayı: 1
- Basım Tarihi: 2014
- Doi Numarası: 10.4153/cmb-2012-030-7
- Dergi Adı: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.166-177
- İstanbul Üniversitesi Adresli: Evet
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.