On Minimal and Maximal p-operator Space Structures

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Atıf İçin Kopyala

Oztop S., Spronk N.

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

• 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.