Trace representation of weights on partial O-algebras |
| |
Authors: | A Inoue W Karwowski |
| |
Institution: | a Department of Applied Mathematics, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-0180, Japan b Institute of Physics, University of Zielona Góra, pl. S?owiański 16, 65-069 Zielona Góra, Poland |
| |
Abstract: | The purpose of this paper is to investigate when a weight ? on a partial O∗-algebra is a trace weighted by a positive self-adjoint operator Ω, that is, whenever s.t. X†∈L(X) and ?(X†□X)<∞. It is shown that if contains the inverse N of a positive compact operator such that the weak multiplication N□N is defined, then every weight ? on satisfying ?(N□N)<∞ is a trace weighted by some positive trace operator. |
| |
Keywords: | Partial O&lowast -algebras O&lowast -algebras Weights Regular weights Trace representation |
本文献已被 ScienceDirect 等数据库收录! |
|