[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160277

SELF-ADJOINT CYCLICALLY COMPACT OPERATORS AND ITS APPLICATION

Kudaybergenov, Karimbergen (Department of Mathematics Karakalpak State University)
Mukhamedov, Farrukh (Department of Mathematical Sciences College of Science The United Arab Emirates University)

Publication Information

Bulletin of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 679-686 More about this Journal

Abstract

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.

Keywords

compact operator; cyclically compact operator; von Neumann algebra;

Citations & Related Records

Reference

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