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Pliev, Marat Amurkhanovich

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Total publications: 21
Scientific articles: 19

Number of views:
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References:646
Pliev, Marat Amurkhanovich
Head Scientist Researcher
Candidate of physico-mathematical sciences (2004)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: Orthogonally additive operators, nonlinear integral opeartors, narrow operators, vector lattices, C*-algebras, completely positive maps
UDC: 517.98, 519.46

Subject:

Orthogonally additive operators in vector lattices and lattice-normed spaces, completely positive maps in C*-algebras

   
Main publications:
  1. M. Pliev, “Narrow operators on lattice-normed spaces”, Open Mathematcs, 9:6 (2011), 1276-1287
  2. M. Pliev, M.Popov, “Narrow orthogonally additive operators”, Positivity, 18:4 (2014), 641-667

https://www.mathnet.ru/eng/person51904
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List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2024
1. N. M. Abasov, N. A. Dzhusoeva, M. A. Pliev, “Diffuse orthogonally additive operators”, Mat. Sb., 215:1 (2024),  3–32  mathnet  mathscinet; Sb. Math., 215:1 (2024), 1–27  isi  scopus 2
2022
2. N. A. Dzhusoeva, S. Yu. Itarova, M. A. Pliev, “Order projection in $\mathcal{OA}_r(E,F)$”, CMFD, 68:3 (2022),  407–423  mathnet  mathscinet
2019
3. A. V. Kalinichenko, M. A. Pliev, “The triangle equality in Hilbert $A$-modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 10,  38–45  mathnet; Russian Math. (Iz. VUZ), 63:10 (2019), 33–39  isi  scopus
2018
4. A. V. Kalinichenko, I. N. Maliev, M. A. Pliev, “Modular sesquilinear forms and generalized Stinspring representation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  50–59  mathnet; Russian Math. (Iz. VUZ), 62:12 (2018), 42–49  isi  scopus 1
5. M. A. Pliev, “On laterally continuous orthogonally additive operators”, Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 3,  104–111  mathnet
6. N. M. Abasov, M. A. Pliev, “On the sum of narrow and $C$-compact operators”, Vladikavkaz. Mat. Zh., 20:1 (2018),  3–9  mathnet  elib 1
2017
7. V. P. Orlov, D. A. Rode, M. A. Pliev, “Weak solvability of the generalized Voigt viscoelasticity model”, Sibirsk. Mat. Zh., 58:5 (2017),  1110–1127  mathnet  elib; Siberian Math. J., 58:5 (2017), 859–874  isi  elib  scopus 8
8. M. A. Pliev, X. Fang, “Narrow orthogonally additive operators in lattice-normed spaces”, Sibirsk. Mat. Zh., 58:1 (2017),  174–184  mathnet  elib; Siberian Math. J., 58:1 (2017), 134–141  isi  elib  scopus 20
2016
9. M. A. Pliev, M. M. Popov, “On extension of abstract Urysohn operators”, Sibirsk. Mat. Zh., 57:3 (2016),  700–708  mathnet  mathscinet  elib; Siberian Math. J., 57:3 (2016), 552–557  isi  elib  scopus 23
10. N. M. Abasov, M. A. Pliev, “On extension of dominated Uryson operators”, Vladikavkaz. Mat. Zh., 18:1 (2016),  3–8  mathnet
2014
11. M. A. Pliev, I. D. Tsopanov, “On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11,  42–49  mathnet; Russian Math. (Iz. VUZ), 58:11 (2014), 36–42  scopus 5
2012
12. I. N. Maliev, M. A. Pliev, “A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12,  51–58  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:12 (2012), 43–49  scopus 8
2011
13. I. N. Maliev, M. A. Pliev, “Continuity of ring homomorphisms for local $C^\star$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8,  34–39  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:8 (2011), 28–32  scopus
2008
14. M. A. Pliev, “The shadow of a bilinear regular operator”, Vladikavkaz. Mat. Zh., 10:3 (2008),  40–45  mathnet  mathscinet 1
2007
15. M. A. Pliev, “Majorizable Uryson operators in spaces with a mixed norm”, Vladikavkaz. Mat. Zh., 9:3 (2007),  47–57  mathnet  mathscinet 6
2006
16. M. A. Pliev, “Ordered projection in spaces of Uryson operators”, Vladikavkaz. Mat. Zh., 8:4 (2006),  38–45  mathnet  mathscinet 1
2005
17. M. A. Pliev, “Projection of a positive Uryson operator”, Vladikavkaz. Mat. Zh., 7:4 (2005),  46–51  mathnet  mathscinet 3
1999
18. A. G. Kusraev, M. A. Pliev, “A weak integral representation of dominated orthogonally additive operators”, Vladikavkaz. Mat. Zh., 1:4 (1999),  21–37  mathnet  mathscinet  zmath 11
19. A. G. Kusraev, M. A. Pliev, “Orthogonally additive operators in lattice-normed spaces”, Vladikavkaz. Mat. Zh., 1:3 (1999),  31–41  mathnet  mathscinet  zmath 12

2021
20. M. A. Pliev, “Every lateral band is the kernel of an orthogonally additive operator”, Vladikavkaz. Mat. Zh., 23:4 (2021),  115–118  mathnet
2010
21. E. K. Basaeva, Yu. A. Kiryutenko, S. B. Klimentov, V. P. Kondakov, Yu. F. Korobeinik, A. G. Kusraev, M. A. Pliev, “Melikhov Sergei Nikolaevich (on his fiftieth birthday)”, Vladikavkaz. Mat. Zh., 12:2 (2010),  79–80  mathnet

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