Standard weights on algebras of unbounded operators

Citation
A. Inoue et al., Standard weights on algebras of unbounded operators, J MATH JPN, 51(4), 1999, pp. 911-935
Citations number
25
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN journal
00255645 → ACNP
Volume
51
Issue
4
Year of publication
1999
Pages
911 - 935
Database
ISI
SICI code
0025-5645(199910)51:4<911:SWOAOU>2.0.ZU;2-R
Abstract
The purpose of this paper is to define,and study an important class in weig hts on O*-algebras which is possible to develop the Tomita-Takesaki theory in O*-algebras. The Connes cocycle theorem for weights on von Neumann algeb ras is generalized to the case of O*-algebras.