Quantum systems and representation theorem


Dosi A.

POSITIVITY, cilt.17, sa.3, ss.841-861, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11117-012-0208-2
  • Dergi Adı: POSITIVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.841-861
  • Anahtar Kelimeler: Quantum cone, Multinormed W*-algebra, Quantum system, Quantum order, OPERATOR-SPACES, MOMENT PROBLEM, ALGEBRAS, BIPOLAR
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

In this paper we investigate quantum systems which are locally convex versions of abstract operator systems. Our approach is based on the duality theory for unital quantum cones. We prove the unital bipolar theorem and provide a representation theorem for a quantum system being represented as a quantum -system.