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Keywords: orthogonally additive operator, vector lattice, lattice-normed space, linear groups, intermediate subgroups, non-split maximal torus, nets, net groups
UDC: 512.5, 512.6, 512.7, 512.8, 519.46

Subject:

nonlinear functional analysis, linear groups, finite topologies

Main publications:

1. N. A. Dzhusoeva, Z. S. Valgasov, “On $C$-compact orthogonally additive operators”, Russian Math. (Iz. VUZ), 69:2 (2025), 24–31        
2. N. A. Dzhusoeva, “On Disjointness-Preserving Biadditive Operators”, Mathematical Notes, 115:5 (2024), 719–733              
3. N. M. Abasov, N. A. Dzhusoeva, M. A. Pliev, “Diffuse orthogonally additive operators”, Matematicheskii Sbornik, 215:1 (2024), 3–32                    
4. M. Pliev, N. Abasov, N. Dzhusoeva, “The lateral order on Köthe–Bochner spaces and orthogonally additive operators”, Annals of functional analysis, 15:3 (2024), 60    
5. N. Dzhusoeva, E. Grishenko, M. Pliev, F. Sukochev, “Narrow operators on C-complete lattice-normed spaces”, Nonlinear Analysis, 243 (2024), 113524    
6. N. A. Dzhusoeva, S. Yu. Itarova, “On Orthogonally Additive Operators in Lattice-Normed Spaces”, Mathematical Notes, 113:1–2 (2023), 59–71              
7. N. A. Dzhusoeva, M. B. Mazloeva, “Kriterii nepreryvnosti ortogonalno biadditivnogo operatora”, Matematicheskii forum (Itogi nauki. Yug Rossii), 15 (2023), 62–63  
8. E. B. Grischenko, N. A. Dzhusoeva, “Ob oskolochnoi kompaktnosti operatora Nemytskogo”, Matematicheskii forum (Itogi nauki. Yug Rossii), 15 (2023), 57–58  
9. N. Dzhusoeva, “Operators taking values in Lebesgue-Bochner spaces”, Proceedings of the American Mathematical Society, 151:8 (2023), 3493
10. N. Dzhusoeva, J. Huang, M. Pliev, F. Sukochev, “Lateral order on complex vector lattices and narrow operators”, Mathematische Nachrichten, 296:11 (2023), 5157–5170    
11. N. Dzhusoeva, M. Mazloeva, “Orthogonally Bi-additive Operators-II”, Results in mathematics, 78:5 (2023), 182    
12. N. A. Dzhusoeva, S. Yu. Itarova, M. A. Pliev, “Order Projection in OA_r(E,F)”, Journal of Mathematical Sciences, 282:3 (2024), 321–336            
13. N. Dzhusoeva, R. Kulaev, M. Pliev, “On bilinear narrow operators”, Mathematics, 9:22 (2021), 2892    
14. N. Dzhusoeva, R. Kulaev, M. Pliev, “Orthogonally biadditive operators”, Journal of function spaces, 2021 (2021), 2593884    
15. N. A. Dzhusoeva, V. A. Koibaev, “The normalizer of the elementary net group associated with a nonsplit torus in the general linear group over a field”, Journal of mathematical sciences, 209:4 (2015), 549–554    
16. N. A. Dzhusoeva, V. A. Koibaev, “Normalizer of an elementary net group associated with a non-split torus in the general linear group over a field”, Journal of Mathematical Sciences (New York), 209:4 (2015), 549–554          
17. N. A. Dzhusoeva, “Net rings normalized by a nonsplit maximal torus”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013), 113–119      
18. N. A. Dzhusoeva, V. A. Koibaev, “Maximal subgroups containing a torus, connected to the field of fractions of a Dedekind domian”, Journal of Mathematical Sciences (New York), 124:1 (2004), 4763–4765        

Full list of scientific publications

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Organisations:

• North-Ossetia State University, Faculty of Mathematics
• Saint Petersburg State University