MULTINORMED W*-ALGEBRAS AND UNBOUNDED OPERATORS


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Dosi A.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.140, sa.12, ss.4187-4202, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 140 Konu: 12
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1090/s0002-9939-2012-11358-9
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.4187-4202

Özet

In this paper we investigate multinormed W*-algebras in terms of the central topologies of W*-algebras. The main result asserts that each multinormed W*-algebra can be realized as a local von Neumann algebra on a certain domain in a Hilbert space. Moreover, it admits the predual (unique up to an isometry), which is the l(1)-normed space. In the normed case the assertion is reduced to the known Sakai theorem.