A. A. Rakhimov, A. A. Katz, R. Dadakhodjaev, “On ideal of compact operators in real factors”, Vladikavkaz. Mat. Zh., 2004, Volume 6, Number 1,Pages <nobr>42

On ideal of compact operators in real factors

A. A. Rakhimov^a, A. A. Katz^b, R. Dadakhodjaev^c

^a Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey
^b Department of Mathematics and Computer Science, St. John's University, Staten Island, NY, USA
^c Department of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

Abstract: In the present paper the real ideals of relatively compact operators of $W^*$-algebras are considered. A description (up to isomorphism) of real two-sided ideal of relatively compact operators of the complex $W^*$-factors is given.

UDC: 517.98

Received: 17.07.2003

Language: English