Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
22.07.1972
E-mail: ,
Keywords: compact operators; ideal of compact operators; Calkin Theorem; Fredholm operators; real von Neumann algebras; crossed-product; conditional expectation; finite projections; lakunary weight; centralizer.
Subject:
I am working on the ideal of compact operators relative to a real $W^*$-algebra. Similarly to the complex case, it has been given a descripton and classification ( up to isomorphism) of the real two sided ideal of the relatively compact operators.
Main publications:
R. A. Dadakhodjaev, Sh. M. Usmanov. Ideals of compact operators in real factors of type $III_\{lambda}(0<\{lambda}<1)$. $1^{st}$. Turkish world mathematics symposium Abstracts, 1999, p. 27.
R. A. Dadakhodjaev, A. A. Rakhimov. Real compact operators in factors. XIV Ulusal Mathematik Sempozyumu, Bildiri ozetleri, 2001, p. 82, Turkiye.