MULTINORMED W*-ALGEBRAS AND UNBOUNDED OPERATORS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.140, sa.12, ss.4187-4202, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 140 Sayı: 12
- Basım Tarihi: 2012
- Doi Numarası: 10.1090/s0002-9939-2012-11358-9
- Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.4187-4202
- Anahtar Kelimeler: Multinormed W*-algebra, unbounded operators, central topology, l(1)-normed space
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
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.