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.
Biography
Graduated from Faculty of Mathematics and Mechanics of Tashkent State University in 1994 (department functional analysis). A list of my works contains 4 titles.
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.
S. Albeverio, Sh. A. Ayupov, A. A. Rakhimov, R. A. Dadakhodjaev, “Index theory for real factors”, Eurasian Math. J., 3:2 (2012), 12–20
2010
2.
S. Albeverio, Sh. A. Ayupov, R. A. Dadakhodjaev, A. A. Rakhimov, “On Jones' index for real $\mathrm W^*$-algebras”, Eurasian Math. J., 1:4 (2010), 5–19
A. A. Rakhimov, A. A. Katz, R. Dadakhodjaev, “On ideal of compact operators in real factors”, Vladikavkaz. Mat. Zh., 6:1 (2004), 42–45
2002
4.
A. A. Rakhimov, A. A. Kats, R. A. Dadakhodjaev, “The Ideal of Compact Operators in Real Factors of Types I and II”, Mat. Tr., 5:1 (2002), 129–134; Siberian Adv. Math., 13:2 (2003), 90–94
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