Bernard RussoProfessor and Chair, Mathematics Chair, Mathematics 
Research Interests 
Functional analysis, operator theory, operator algebras, Jordan structures  
URL  www.math.uci.edu/faculty/brusso.html  
Appointments 
1978present: Professor, Department of Mathematics, UC Irvine t 

Research Abstract 
Early research interests were in algebras of operators on Hilbert space (von Neumann algebras) and their applications to abstract harmonic analysis (group representation theory) and operator theory. After that, Jordan operator algebras and triples and the ir connections with several complex variables and quantum mechanics have been the focus of study. Current main interest is the theory of operator spaces, or "quantized functional analysis".eÂn  
Publications  "State spaces of JB*triples" (with Matthew Neal), Mathematische Annalen, to appear*  
"An operator space characterization of C*algebras and ternary rings" (with Matthew Neal), Pacific Journal of Mathematics 209 (2003) pp 339364`  
"Derivatives on real and complex JB*triples" (with A. Martinez, A. Peralta, T. Ho), Journal of the London Mathematical Society, 64 (2001), pp 85102.  
"Contractive projections and operator spaces" (with Matthew Neal), Comptes Rendus Acad. Sci. Paris 331 (2000), pp 873878 (announcement); Transactions of the American Mathematical Society 355 (2003) pp 22232262.  
"A new approach to the spinors and some representations of the Lorentz group on them" (with Yaakov Friedman), Foundations of PHysics 31 (2001), pp 17331766. 

"The small Hankel operator in several complex variables". Complex Analysis and Related Topics, Vol.114 (2000) of the series Operator Theory. Advances and Applications, Birkhauser Verlag, pp 235252.  
"Hankel operators in the Dixmier class" (with S. Y. Li), C.R. Acad. Sci., Paris, 325, serie I, 1997, pp.2126.  
"Holomorphic Composition Operators in several complex variables," In: Studies on Composition Operators, Proceedings of the Rocky Mountain Mathematics Consortium, July 819,1996; editors F. Jafari, B. MacCluer, C. Cowen, A. Porter, Contemp. Math. 213 (1998), 191212. 

"Spectral domains in several complex variables," (with S. Fu), Rocky Mountain Mathematical Journal 27 (1997), pp 10951116.  
"Schatten class composition operators on weighted Bergman spaces of bounded symmetric domains," (with S.Y. Li), Annali di matematica pura ed applicata, (IV) Vol. CLXXII (1997), pp. 379394.  
"Structure of JB*triples". Jordan algebras, Proceedings of Oberwohlfach Conference (1992), deGruyter, Berlin, 1994, pp 209280.  
Professional Society 
Associate Secretary for the Western Section, American Mathematical Society 19982002 

Link to this profile  http://www.faculty.uci.edu/profile.cfm?faculty_id=2181  
Last updated  08/11/2003  