NONCOMMUTATIVE MACKEY THEOREM

Dosi A.

INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.22, sa.4, ss.535-544, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1142/s0129167x11006891
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.535-544
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.