Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 29.01.1957
Phone: +1 (563) 321 4508
Fax: +1 (563) 242 2003
E-mail:
Keywords: $C^*$-algebras, von Neumann algebras, non-commutative $L_p$-spaces, Jordan operator algebras.
UDC: 517.986, 517.98, 986
MSC: 46L

Subject:

Functional analysis. Operator algebras. Non-commutative probability. Non-commutative ergodic theory.

Main publications:

1. Ayupov, Shavkat; Rakhimov, Abdugafur; Usmanov, Shukhrat, Jordan, real and Lie structures in operator algebras, Mathematics and its Applications, 418, Kluwer Publisher Academic Group, Dordrecht, The Netherlands, 1997
2. Usmanov, Shukhrat, “Operatoroznachnye vesa na veschestvennykh $W^*$-algebrakh i $JW$-algebrakh”, Matematicheskii sbornik, 190:10 (1999), 105–122      
3. Usmanov, Shukhrat, “Teorema dvoistvennosti Takesaki i nepreryvnoe razlozhenie veschestvennykh faktorov tipa III”, Izvestiya RAN, seriya matematicheskaya, 64:4 (2000), 183–200      
4. Ayupov, Shavkat i Usmanov, Shukhrat, “Diametr prostranstv sostoyanii Iordanovykh Banakhovykh algebr”, Izvestiya RAN, seriya matematicheskaya, 53:2 (1989), 227–242      
5. Usmanov, Shukhrat, “Veschestvennye faktory tipa III$_0$”, Funktsionalnyi analiz i ego prilozheniya, 34:1 (2000), 93–95      

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Ashford University
• V. I. Romanovskiy Institute of Mathematics of the Academy of Sciences of Uzbekistan, Tashkent