real W*-algebras; real C*-algebras; real von Neumann algebras; real Hilbert spaces; real *-algebras; W*-algebras; C*-algebras; von Neumann algebras.
Main publications:
Sh. Ayupov, A. Rakhimov, A. Abduvaitov. Veschestvennye $W^*$-algebry s abelevoi ermitovoi chastyu // Int. Conference on Functional Analisys. Aug. 2001, Kyiv, Ukraine, Abstracts, p. 7–8.
Sh. Ayupov, A. Rakhimov, A. Abduvaitov. Veschestvennye $W^*$-algebry s abelevoi ermitovoi chastyu // Dokl. AN RUz, 2001, # 4–5, s. 3–6.
S. A. Albeverio, Sh. A. Ayupov, A. Kh. Abduvaitov, “On the coincidence of types of a real $AW^*$-algebra and its complexification”, Izv. RAN. Ser. Mat., 68:5 (2004), 3–12; Izv. Math., 68:5 (2004), 851–860
Sh. A. Ayupov, A. A. Rakhimov, A. Kh. Abduvaitov, “Real $W^*$-Algebras with Abelian Hermitian Part”, Mat. Zametki, 71:3 (2002), 473–476; Math. Notes, 71:3 (2002), 432–435