Speciality: 01.01.00 (Mathematics)
Birth date: 25.08.1971
Keywords: vector lattice, positive operator, continuous operator semigroup
UDC: 517.95, 517.98
MSC: , 357791

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, S. Gorokhova, “Free uniformly complete vector lattices”, Positivity, 28:4 (2024), 48        
3. Ş. Alpay, E. Emelyanov, S. Gorokhova, “Enveloping norms of regularly P-operators in Banach lattices”, Positivity, 28:3 (2024), 37        
4. S. Gorokhova, “On compact (limited) operators between Hilbert and Banach spaces”, Filomat, 38:33 (2024), 11633–11637 https://www.pmf.ni.ac.rs/filomat-content/2024/38-33/38-33-3-25315.pdf  
5. Ayd{\i}n, A.; Emelyanov, E. Yu.; Gorokhova, S. G.,, “Full lattice convergence on Riesz spaces.”, Indagationes Mathematicae, 32:3 (2021), 658–690          
6. Emelyanov, E.Y., Erkurşun-Özcan, N., Gorokhova, S.G., “Komlos properties in Banach lattices.”, Acta Mathematica Hungarica, 155:2 (2018), 324–331            

Publications

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Organisations:

• Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
• Novosibirsk State University
• Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk