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
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.
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页码:679 / 686
页数:8
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