Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations

Dosi, Anar

doi:10.1016/j.jmaa.2018.06.002

Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations

Atıf İçin Kopyala

Dosi A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.466, sa.1, ss.573-608, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 466 Sayı: 1
Basım Tarihi: 2018
Doi Numarası: 10.1016/j.jmaa.2018.06.002
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.573-608
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The present paper is devoted to classification of multinormed W*-algebras in terms of their bounded parts. We obtain a precise description of the bornological predual of a multinormed W*-algebra, which is reduced to a multinormed noncommutative L-1-space in the semifinite case. A multinormed noncommutative L-2-space is obtained as the union space of a commutative domain in a semifinite von Neumann algebra. Multinormed W*-algebras of type I are described as locally bounded decomposable (unbounded) operators associated with a measurable covering. (C) 2018 Elsevier Inc. All rights reserved.