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Emelyanov, Eduard Yur'evich

Statistics Math-Net.Ru
in MathSciNet: 63 (62)
in zbMATH: 60 (59)
in Web of Science: 31 (31)
in Scopus: 33 (33)
Head Scientist Researcher
Doctor of physico-mathematical sciences (2004)
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. Emelʹyanov, E. Yu.; Kohler, U.; Räbiger, F.; Wolff, M. P. H., “Stability and almost periodicity of asymptotically dominated semigroups of positive operators”, Proc. Amer. Math. Soc., 129:9 (2001), 2633-2642
  2. Eduard Yu. Emel'yanov, Manfred P. H. Wolff, “Positive operators on Banach spaces ordered by strongly normal cones. Positivity and its applications”, Positivity, 7 (2003), 3-22
  3. Eduard Yu. Emel'yanov, Non-spectral asymptotic analysis of one-parameter operator semigroups., Operator Theory: Advances and Applications, 173, Birkhäuser Verlag, Basel, 2007
  4. Aydın, A.; Emelyanov, E. Yu.; Erkurşun Özcan, N.; Marabeh, M. A. A., “Compact-like operators in lattice-normed spaces”, Indag. Math. (N.S.), 29:2 (2018), 633-656
  5. Aydın, Abdullah; Emelyanov, Eduard; Gorokhova, Svetlana, “Full lattice convergence on Riesz spaces”, Indag. Math. (N.S.), 32:3 (2021), 658-690

https://www.mathnet.ru/eng/person28619
List of publications on Google Scholar
https://zbmath.org/authors/ai:emelyanov.eduard-yurevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/353198

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2022
1. Ş. Alpay, E. Emelyanov, S. Gorokhova, “$o\tau$-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces”, Result. Math., 77:3 (2022)  crossref  zmath  scopus 1
2. S. G. Gorokhova, E. Yu. Emelyanov, “On operators dominated by Kantorovich–Banach operators and Lévy operators in locally solid lattices”, Vladikavkaz. Mat. Zh., 24:3 (2022), 55–61  mathnet  crossref  mathscinet

   2021
3. A. Aydin, E. Emelyanov, S. Gorokhova, “Full lattice convergence on Riesz spaces”, Indag. Math. (N.S.), 32:3 (2021), 658–690  crossref  mathscinet  zmath  elib  scopus 12
4. Ş. Alpay, E. Emelyanov, S. Gorokhova, “Bibounded uo-convergence and b-property in vector lattices”, Positivity, 25:5 (2021), 1677–1684  crossref  mathscinet  zmath  elib  scopus 1
5. E. Yu. Emelyanov, M. A. A. Marabeh, “On the Brezis–Lieb Lemma and Its Extensions”, Operator Theory and Differential Equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019, Trends in Mathematics, eds. Kusraev, Anatoly G., Birkhäuser/Springer, 2021, 25–35  crossref  mathscinet  zmath  elib  scopus 1
6. E. Yu. Emelyanov, “On the domination problem for Lebesgue, KB, and Levi operators”, Poryadkovyi analiz i smezhnye voprosy matematicheskogo modelirovaniya. Teoriya operatorov i differentsialnye uravneniya. tezisy dokladov XVI Mezhdunarodnoi nauchnoi konferentsii. (Vladikavkaz, 2021), Yuzhnyi matematicheskii institut Vladikavkazskogo nauchnogo tsentra Rossiiskoi akademii nauk i Pravitelstva Respubliki Severnaya Osetiya-Alaniya, Vladikavkaz, 2021, 31–32  elib

   2020
7. E. Yu. Emelyanov, M. A. A. Marabeh, “Internal characterization of Brezis-Lieb spaces”, Positivity, 24:3 (2020), 585–592  crossref  mathscinet  zmath  elib  scopus 2
8. Y. A. Dabboorasad, E. Emelyanov, M. A. A. Marabeh, “Order convergence is not topological in infinite-dimensional vector lattices”, Uzbek Math. J., 2020, no. 1, 159–166  crossref  mathscinet  zmath 11

   2019
9. E. Y. Emelyanov, S. G. Gorokhova, S. S. Kutateladze, “Unbounded order convergence and the Gordon theorem”, Vladikavk. matem. zhurn., 21:4 (2019), 56–62  mathnet  crossref  mathscinet  zmath  elib  scopus 2
10. A. Ayd{\i}n, E. Emelyanov, N. Erkurşun Özcan, M. A. A. Marabeh, “Unbounded p-convergence in lattice-normed vector lattices”, Siberian Advances in Mathematics, 29 (2019), 164–182  crossref  mathscinet  zmath  elib  scopus 7

   2018
11. A. M. Dabboorasad, E. Yu. Emelyanov, “Unbounded convergence in the convergence vector lattices: a survey”, Vladikavk. matem. zhurn., 20:2 (2018), 49–56  mathnet  crossref  mathscinet  zmath  elib 3
12. A. Aydin, E. Emelyanov, N. Erkurşun Özcan, M. A. A. Marabeh, “Compact-like operators in lattice-normed spaces”, Indag. Math. (N.S.), 29:2 (2018), 633–656  crossref  mathscinet  zmath  isi  elib  scopus 15
13. Y. A. Dabboorasad, E. Yu. Emelyanov, M. A. A. Marabeh, “um-Topology in multi-normed vector lattices”, Positivity, 22:2 (2018), 653–667  crossref  mathscinet  zmath  isi  scopus 5
14. E. Emelyanov, N. Erkurşun Özcan, S. Gorokhova, “Komlós properties in Banach lattices”, Acta Mathematica Hungarica, 155:2 (2018), 324–331  crossref  mathscinet  zmath  isi  elib  scopus 5
15. Y. A. Dabboorasad, E. Emelyanov, M. A. A. Marabeh, “uτ-convergence in locally solid vector lattices”, Positivity, 22:4 (2018), 1065–1080  crossref  mathscinet  zmath  isi  elib  scopus 12

   2017
16. E. Yu. Emelyanov, “Archimedean cones in vector spaces”, Convex Anal., 24:1 (2017), 169–183  mathscinet  zmath  isi  elib  scopus

   2016
17. E. Emelyanov, H. Gül, “Nonstandard hulls of ordered vector spaces”, Positivity, 20:2 (2016), 413–433  crossref  mathscinet  zmath  isi  scopus 1
18. E. Yu. Emelyanov, M. A. A. Marabeh, “Two measure-free versions of the Brezis–Lieb lemma.”, Vladikavkaz. Mat. Zh., 18:1 (2016), 21–25  mathnet  crossref  mathscinet  zmath  elib 9
19. E. Yu. Emelyanov, “Arkhimedizatsiya uporyadochennykh vektornykh prostranstv”, Matematicheskii forum (Itogi nauki. Yug Rossii), 10:1 (2016), 13–21  elib

   2015
20. A. E. Gutman, E. Yu. Emelyanov, A. V. Matyukhin, “Nezamknutye arkhimedovy konusy v lokalno vypuklykh prostranstvakh”, Vladikavk. matem. zhurn., 17:3 (2015), 36–43  mathnet  crossref  mathscinet  zmath  elib 3

   2014
21. E. Yu. Emelyanov, “Beskonechno malye v poluuporyadochennykh prostranstvakh”, Matematicheskii forum (Itogi nauki. Yug Rossii), 8:1 (2014), 43–56  elib

   2013
22. E. Yu. Emel'yanov, “Infinitesimals in ordered vector spaces”, Vladikavkaz. Mat. Zh., 15:1 (2013), 18–22  mathnet  crossref  mathscinet  zmath  elib 3
23. E. Yu. Emelyanov, “Erratum to: “Iinfinitesimals in ordered vector spaces””, Vladikavkaz. Mat. Zh., 15:2 (2013), 82–83  mathnet  mathscinet  zmath  elib 1

   2012
24. E. Emelyanov, N. Erkurşun Özcan, “Asymptotically absorbing nets of positive operators”, Siberian Advances in Mathematics, 22:4 (2012), 243–260  crossref  mathscinet  zmath  elib  scopus 1

   2011
25. E. Yu. Emelyanov, “On quasi-compactness of operator nets on Banach spaces”, Stud. Math., 2011, no. 2, 163–170  crossref  mathscinet  zmath  isi  elib  scopus 2
26. E. Yu. Emelyanov, “Asymptotically finite dimensional operators in Banach spaces. Recent developments and open problems”, Matematicheskii forum (Itogi nauki. Yug Rossii), 5 (2011), 57–62  elib

   2010
27. E. Yu. Emel'yanov, “Asymptotic behavior of Lotz–Räbiger and martingale nets”, Siberian Math. J., 51:5 (2010), 810–817  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
28. E. Yu. Emelyanov, R. Zaharopol, “Convergence of Lotz-Räbiger nets of operators on spaces of continuous functions”, Rev. Roum. Math. Pures Appl., 55:1 (2010), 1–26  mathscinet  zmath  isi
29. E. Emelyanov, N. Erkurşun Özcan, “Lotz-Räbiger’s nets of Markov operators in $L^1$-spaces”, J. Math. Anal. Appl., 371:2 (2010), 777–783  crossref  mathscinet  zmath  isi  scopus 5

   2009
30. E. Emelyanov, N. Erkurşun Özcan, “An extension of Sine’s counterexample”, Positivity, 13:1 (2009), 125–127  crossref  mathscinet  zmath  isi  scopus 1

   2007
31. E. Yu. Emel'yanov, N. Erkursun, “Generalization of Eberlein's and Sine's ergodic theorems to $LR$-nets”, Vladikavkaz. Mat. Zh. Journal Profile, 9:3 (2007), 22–26  mathnet  mathscinet  zmath  elib 14
32. E. Yu. Emelyanov, Non-spectral asymptotic analysis of one-parameter operator semigroups, Operator Theory: Advances and Applications, 173, Birkhäuser, Basel, 2007 , viii, 174 pp.  mathscinet  zmath

   2006
33. Ş. Alpay, A. Binhadjah, E. Yu, Emelyanov, Z. Ercan, “Mean ergodicity of positive operators in KB-spaces”, J. Math. Anal. Appl., 323:1 (2006), 371–378  crossref  mathscinet  zmath  isi  elib  scopus 4
34. E. Yu. Emelyanov, “Positive asymptotically regular operators in L1-spaces and KB-spaces”, Proceedings of the conference “Positivity IV—Theory and Applications” (Dresden, Germany, July 25–29, 2005), ISBN 3-86005-512-7/pbk, eds. Weber, Martin R., TU Dresden, Institut für Analysis, Dresden, 2006, 53–61  mathscinet  zmath
35. Ş. Alpay, E. Yu, Emelyanov, A. Binhadjah, “A positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-space”, Positivity, 10:1 (2006), 105–110  crossref  mathscinet  zmath  isi  elib  scopus
36. E. Yu. Emelyanov, M. P. H. Wolff, “Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras”, J. Math. Anal. Appl., 314:2 (2006), 749–763  crossref  mathscinet  zmath  elib  scopus 7

   2005
37. E. Yu. Emel'yanov, “Some open questions on positive operators in Banach lattices”, Vladikavkaz. Mat. Zh., 7:4 (2005), 17–21  mathnet  mathscinet  zmath  elib

   2004
38. E. Yu. Emel'yanov, “Regularity Conditions for Markov Semigroups on Abstract $L^1$-Spaces”, Siberian Adv. Math., 14:4 (2004), 1–29  mathnet  mathscinet  mathscinet  mathscinet  zmath  elib
39. E. Yu. Emelyanov, “A remark to a theorem of Yu. A. Abramovich”, Proc. Am. Math. Soc., 132:3 (2004), 781–782  crossref  mathscinet  zmath  isi  elib  scopus 1
40. E. Yu. Emelyanov, Z. Ercan, “A formula for the joint local spectral radius”, Proc. Am. Math. Soc., 132:5 (2004), 1449–1451  crossref  mathscinet  zmath  isi  elib  scopus
41. Ş. Alpay, E. Yu, Emelyanov, Z. Ercan, “A characterization of an order ideal in Riesz spaces”, Proc. Am. Math. Soc., 132:12 (2004), 3627–3628  crossref  mathscinet  zmath  isi  elib  scopus 1
42. E. Yu. Emelyanov, M. P. H. Wolff, “Mean lower bounds for Markov operators”, Ann. Pol. Math., 83:1 (2004), 11–19  crossref  mathscinet  zmath 7

   2003
43. È. Yu. Emel'yanov, “Some conditions for a $C_0$-semigroup to be asymptotically finite-dimensional”, Siberian Math. J., 44:5 (2003), 793–796  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
44. E. Yu. Emelyanov, M. P. H. Wolff, “Positive operators on Banach spaces ordered by strongly normal cones”, Positivity, 7:1–2 (2003), 3–22  crossref  mathscinet  zmath  isi  elib  scopus 18
45. E. Yu. Emelyanov, M. P. H. Wolff, “Asymptotic behaviour of Markov semigroups on non commutative $L^1$-spaces”, Quantum probability and infinite-dimensional analysis. Proceedings of the conference (Burg, (Spreewald) Germany, March 15–20, 2001), Quantum Probab. White Noise Anal., 15, eds. W. Freudenberg, World Scientific (ISBN 981-238-288-7/hbk), River Edge, NJ, 2003, 77–83  mathscinet  zmath
46. E. Yu. Emelyanov, “Invariant densities and mean ergodicity of Markov operators”, Isr. J. Math., 136 (2003), 373–379  crossref  mathscinet  zmath  isi  elib  scopus 3

   2002
47. E. Yu. Emelyanov, M. P. H. Wolff, “Quasi constricted linear representations of abelian semigroups on Banach spaces”, Math. Nachr., 2002, no. 233–234, 103–110  crossref  mathscinet  zmath  isi  elib  scopus

   2001
48. 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  crossref  mathscinet  zmath  isi 8
49. E. Yu. Emelyanov, M. P. H. Wolff, “Quasi-constricted linear operators on Banach spaces”, Stud. Math., 144:2 (2001), 169–179  crossref  mathscinet  zmath  isi  elib  scopus 8

   2000
50. E. Yu. Emelyanov, F. Räbiger, M. P. H. Wolff, “Asymptotic behavior of positive operators on Banach lattices”, Positivity, 4:3 (2000), 245–251  crossref  mathscinet  zmath  isi  elib  scopus 1
51. E. Yu. Emelyanov, “Infinitesimals in vector lattices”: A. E. Gutman, E. Yu. Emel’yanov, A. G. Kusraev, G. A. Losenkov, A. V. Koptev, S. A. Malyugin,, Nonstandard analysis and vector lattices, Updated translation of the Russian original, Math. Appl., 525, eds. S. S. Kutateladze, Kluwer Acad. Publ., Dordrecht, 2000, 161–230  mathscinet  zmath

   1999
52. S. G. Gorokhova, È. Yu. Emel'yanov, “A Sufficient Condition for Order Boundedness of an Attractor for a Positive Mean Ergodic Operator in a Banach Lattice”, Siberian Adv. Math., 9:3 (1999), 78–85  mathnet  mathscinet  mathscinet  zmath
53. E. Yu. Emelyanov, M. P. H. Wolff, “Mean ergodicity on Banach lattices and Banach spaces”, Arch. Math., 72:3 (1999), 214–218  crossref  mathscinet  zmath  isi  elib  scopus 6
54. A. E. Gutman, E. Yu. Emelyanov, A. G. Kusraev, S. S. Kutateladze, Nestandartnyi analiz i vektornye reshetki, Izdatelstvo Instituta matematiki SO RAN, Novosibirsk, 1999 , x, 379 pp.  zmath

   1997
55. È. Yu. Emel'yanov, “Invariant homomorphisms of nonstandard extensions of Boolean algebras and vector lattices”, Siberian Math. J., 38:2 (1997), 244–252  mathnet  crossref  mathscinet  zmath  isi  isi  scopus
56. E. Yu. Emelyanov, “Banach lattices on which every power-bounded operator is mean ergodic”, Positivity, 1:4 (1997), 291–295  crossref  mathscinet  zmath  isi  elib  scopus 1
57. E. Yu. Emelyanov, “Invariant homomorphisms of nonstandard enlargements of Boolean algebras and vector lattices”, Siberian conference on applied and industrial mathematics dedicated to the memory of L. V. Kantorovich. Vol. 1. Novosibirsk (Russia), July 25–29, 1994, eds. Bokut’, L. A. (ed.) et al., Izdatel’stvo Instituta Matematiki SO RAN, Novosibirsk, 1997, 117–125  zmath
58. E. Yu. Emelyanov, “Some aspects of the theory of bounded groups of operators in Banach spaces”, Siberian Adv. Math., 7:1 (1997), 26–31  mathscinet

   1996
59. E. Yu. Emelyanov, “Infinitesimal analysis and vector lattices”, Sib. Adv. Math., 6:1 (1996), 19–70  mathscinet  zmath

   1995
60. È. Yu. Emel'yanov, “An infinitesimal approach to the representation of vector lattices by spaces of continuous functions on a compactum”, Dokl. Akad. Nauk, 344:1 (1995), 9–11  mathnet  mathscinet  zmath
61. E. Yu. Emelyanov, “Order hulls of vector lattices”, Dokl. Math., 51:1 (1995), 54–55  mathnet  mathscinet  mathscinet  zmath
62. È. Yu. Emel'yanov, “Banach–Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces”, Siberian Math. J., 36:1 (1995), 66–77  mathnet  crossref  mathscinet  zmath  isi

   1994
63. È. Yu. Emel'yanov, “The order and regular hulls of Riesz spaces”, Siberian Math. J., 35:6 (1994), 1101–1108  mathnet  crossref  mathscinet  zmath  isi
64. S. G. Gorokhova, È. Yu. Emel'yanov, “On the notion of stability of order convergence in vector lattices”, Siberian Math. J., 35:5 (1994), 912–916  mathnet  crossref  mathscinet  zmath  isi
65. È. Yu. Emel'yanov, “Nonstandard hulls of vector lattices”, Siberian Math. J., 35:1 (1994), 77–87  mathnet  crossref  mathscinet  zmath  isi

   1993
66. E. Yu. Emelyanov, “Ob obraze vektornykh mer Leba”, Optimizatsiya, 52:69 (1993), 59–73  crossref  mathscinet  zmath

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