Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: vector lattice, positive operator, nonstandard hull.
UDC: 517.95, 517.955.4, 517.98, 517.982, 517.986.7, 517.983.23, 517.987.5

Subject:

functional analysis, operator theory, nonstandard analysis

Main publications:

1. E. Emelyanov, N. Erkurşun-Özcan, S. Gorokhova, “Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces”, Results in Mathematics, 80 (2025), 70 , 14 pp. https://link.springer.com/content/pdf/10.1007/s00025-025-02386-6.pdf    
2. E. Emelyanov, “On compact KB operators in Banach lattices”, Positivity, 29:1 (2025), N 15    
3. A. Aydin, E. Emelyanov, S. Gorokhova, “Full lattice convergence on Riesz spaces”, Indag. Math. (N.S.), 32:3 (2021), 658–690          
4. E. Yu. Emelyanov, “Archimedean cones in vector spaces”, Convex Anal., 24:1 (2017), 169–183          
5. E. Yu. Emelyanov, Non-spectral asymptotic analysis of one-parameter operator semigroups, Operator Theory: Advances and Applications, 173, Birkhäuser, Basel, 2007 , viii, 174 pp.    
6. E. Yu. Emelyanov, M. P. H. Wolff, “Positive operators on Banach spaces ordered by strongly normal cones”, Positivity, 7:1–2 (2003), 3–22            
7. E. Yu. Emelyanov, U. Kohler, F. Räbiger, M. P. H. Wolff, “Stability and almost periodicity of asymptotically dominated semigroups of positive operators”, Proc. Am. Math. Soc., 129:9 (2001), 2633–2642        
8. E. Yu. Emelyanov, “Banach lattices on which every power-bounded operator is mean ergodic”, Positivity, 1:4 (1997), 291–295            

Recent publications

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Organisations:

• Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
• Middle East Technical University