SELF-ADJOINT CYCLICALLY COMPACT OPERATORS AND ITS APPLICATION

被引：0

作者：

Kudaybergenov, Karimbergen ^{[1
]}

Mukhamedov, Farrukh ^{[2
]}

机构：

[1] Karakalpak State Univ, Dept Math, Nukus 230113, Uzbekistan

[2] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Abu Dhabi 15551, U Arab Emirates

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 02期

关键词：

compact operator; cyclically compact operator; von Neumann algebra; MEASURABLE OPERATORS; ALGEBRAS; DERIVATIONS;

D O I：

10.4134/BKMS.b160277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is devoted to self-adjoint cyclically compact operators on Hilbert-Kaplansky module over a ring of bounded measurable functions. The spectral theorem for such a class of operators is given. We use more simple and constructive method, which allowed to apply this result to compact operators relative to von Neumann algebras. Namely, a general form of compact operators relative to a type I von Neumann algebra is given.

引用

页码：679 / 686

页数：8

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