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Gutman, Alexander Efimovich
Statistics Math-Net.Ru
Total publications: 38
Scientific articles: 33

Number of views:
This page:2055
Abstract pages:12219
Full texts:3901
References:1316
Professor
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Website: http://old.math.nsc.ru/~gutman/
Keywords: vector lattices; Riesz spaces; Kantorovich spaces; lattice-normed spaces; nonstandard analysis; infinitesimal analysis; Boolean-valued analysis.
   
Main publications:
  • Bukhvalov A. V., Gutman A. E., Korotkov V. B., Kusraev A. G., Kutateladze S. S. Vector Lattices and Integral Operators. Dordrecht: Kluwer, 1996. 4621996.p.

https://www.mathnet.ru/eng/person17662
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/314916
https://elibrary.ru/author_items.asp?authorid=8605
https://www.researchgate.net/profile/Alexander-Gutman

Publications in Math-Net.Ru Citations
2024
1. A. E. Gutman, I. A. Emelyanenkov, “Quasidenseness in $\Bbb r^{\Bbb n}$ and projective parallelotopes”, Sibirsk. Mat. Zh., 65:2 (2024),  258–276  mathnet
2023
2. A. E. Gutman, I. A. Emelyanenkov, “Locally convex spaces with all Archimedean cones closed”, Sibirsk. Mat. Zh., 64:5 (2023),  945–970  mathnet 1
2020
3. A. E. Gutman, “Boolean-valued universe as an algebraic system. ii: intensional hierarchies”, Sibirsk. Mat. Zh., 61:3 (2020),  539–571  mathnet  elib; Siberian Math. J., 61:3 (2020), 426–452  isi  scopus 1
2019
4. A. E. Gutman, “Boolean-valued universe as an algebraic system. I: Basic principles”, Sibirsk. Mat. Zh., 60:5 (2019),  1041–1062  mathnet  elib; Siberian Math. J., 60:5 (2019), 810–827  isi  scopus 2
5. A. E. Gutman, I. A. Emelyanenkov, “Lexicographic structures on vector spaces”, Vladikavkaz. Mat. Zh., 21:4 (2019),  42–55  mathnet
2018
6. A. E. Gutman, L. I. Kononenko, “Inverse problem of chemical kinetics as a composition of binary correspondences”, Sib. Èlektron. Mat. Izv., 15 (2018),  48–53  mathnet 2
7. A. E. Gutman, L. I. Kononenko, “Binary correspondences and the inverse problem of chemical kinetics”, Vladikavkaz. Mat. Zh., 20:3 (2018),  37–47  mathnet  elib 1
8. A. E. Gutman, “On the structure of the Boolean-valued universe”, Vladikavkaz. Mat. Zh., 20:2 (2018),  38–48  mathnet  elib 1
2017
9. A. E. Gutman, L. I. Kononenko, “Formalization of inverse problems and its applications”, Sib. J. Pure and Appl. Math., 17:4 (2017),  49–56  mathnet 1
2015
10. A. E. Gutman, E. Yu. Emel'yanov, A. V. Matyukhin, “Nonclosed Archimedean cones in locally convex spaces”, Vladikavkaz. Mat. Zh., 17:3 (2015),  36–43  mathnet 3
11. A. E. Gutman, “Object-oriented dataas prefix rewriting systems”, Vladikavkaz. Mat. Zh., 17:3 (2015),  23–35  mathnet
2014
12. A. E. Gutman, A. V. Koptev, “Convergence-Preserving Maps and Fixed-Point Theorems”, Mat. Zametki, 95:5 (2014),  790–794  mathnet  mathscinet  elib; Math. Notes, 95:5 (2014), 738–742  isi  scopus 1
13. A. E. Gutman, A. V. Koptev, “Finite dimensionality and separability of the stalks of Banach bundles”, Sibirsk. Mat. Zh., 55:2 (2014),  304–314  mathnet  mathscinet; Siberian Math. J., 55:2 (2014), 246–253  isi  scopus 2
2013
14. A. E. Gutman, A. V. Koptev, “Continuous-discrete sections of bundles of Banach lattices”, Vladikavkaz. Mat. Zh., 15:4 (2013),  14–18  mathnet
15. A. E. Gutman, “Positive lifting in a measurable bundle of Banach lattices”, Vladikavkaz. Mat. Zh., 15:4 (2013),  12–13  mathnet
2012
16. A. E. Gutman, “An example of using $\Delta_1$ terms in Boolean valued analysis”, Vladikavkaz. Mat. Zh., 14:1 (2012),  47–63  mathnet 3
2010
17. A. E. Gutman, S. S. Kutateladze, Yu. G. Reshetnyak, “Cofinite numbers, nonstandard analysis, and mechanics”, Sib. Zh. Ind. Mat., 13:1 (2010),  55–58  mathnet  mathscinet  elib; J. Appl. Industr. Math., 4:2 (2010), 191–193 2
2009
18. A. E. Gutman, A. V. Koptev, “Spaces of $CD_0$-functions and $CD_0$-sections of Banach bundles”, Sib. Èlektron. Mat. Izv., 6 (2009),  219–242  mathnet  mathscinet
19. A. E. Gutman, S. A. Lisovskaya, “The boundedness principle for lattice-normed spaces”, Sibirsk. Mat. Zh., 50:5 (2009),  1050–1059  mathnet  mathscinet; Siberian Math. J., 50:5 (2009), 830–837  isi  scopus 4
2008
20. A. E. Gutman, A. G. Kusraev, S. S. Kutateladze, “The Wickstead Problem”, Sib. Èlektron. Mat. Izv., 5 (2008),  293–333  mathnet  mathscinet 18
21. A. E. Gutman, S. S. Kutateladze, “On the theory of grossone”, Sibirsk. Mat. Zh., 49:5 (2008),  1054–1063  mathnet  mathscinet; Siberian Math. J., 49:5 (2008), 835–841  isi  scopus 4
2007
22. A. E. Gutman, A. V. Koptev, “Spaces of $CD_0$-functions and doubling in the sense of Aleksandrov”, Vladikavkaz. Mat. Zh., 9:3 (2007),  11–21  mathnet  mathscinet 4
23. A. E. Gutman, A. V. Koptev, “Spaces of $CD_0$-sections and $CD_0$-homomorphisms of Banach bundles”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:4 (2007),  27–48  mathnet 1
2005
24. A. E. Gutman, A. V. Koptev, A. I. Popov, “Finite representability in fibers of spacious Banach bundles”, Vladikavkaz. Mat. Zh., 7:1 (2005),  39–45  mathnet  mathscinet
2004
25. A. E. Gutman, A. I. Sotnikov, “Order properties of the space of finitely additive transition functions”, Sibirsk. Mat. Zh., 45:1 (2004),  80–102  mathnet  mathscinet  zmath  elib; Siberian Math. J., 45:1 (2004), 69–85  isi 3
26. A. E. Gutman, D. S. Feofanov, “Description of the principal components generated by operators that preserve disjunction”, Vladikavkaz. Mat. Zh., 6:3 (2004),  26–35  mathnet  mathscinet  zmath
2002
27. A. E. Gutman, D. B. Ryabko, “Functional representation of Kantorovich spaces of Boolean-valued models”, Vladikavkaz. Mat. Zh., 4:1 (2002),  34–49  mathnet  mathscinet
2001
28. A. E. Gutman, D. B. Ryabko, “The Nonstandard Hull of a Normed Space in a Boolean-valued Universe”, Mat. Tr., 4:2 (2001),  42–52  mathnet  mathscinet  zmath; Siberian Adv. Math., 12:2 (2002), 38–47 1
1999
29. A. E. Gutman, A. V. Koptev, “On the Notion of the Dual of a Banach Bundle”, Mat. Tr., 2:1 (1999),  8–71  mathnet  mathscinet  zmath; Siberian Adv. Math., 9:1 (1999), 46–98 2
1998
30. A. E. Gutman, G. A. Losenkov, “Function Representation of the Boolean-Valued Universe”, Mat. Tr., 1:1 (1998),  54–77  mathnet  mathscinet  zmath; Siberian Adv. Math., 8:1 (1998), 99–120 5
1997
31. A. E. Gutman, “Locally one-dimensional $K$-spaces”, Dokl. Akad. Nauk, 353:5 (1997),  590–591  mathnet  mathscinet  zmath
1995
32. A. E. Gutman, “Banach fiberings in the theory of lattice-normed spaces”, Trudy Inst. Mat. SO RAN, 29 (1995),  63–211  mathnet  mathscinet  zmath 2
1991
33. A. E. Gutman, “On the representation of lattice-normed spaces”, Sibirsk. Mat. Zh., 32:2 (1991),  41–54  mathnet  mathscinet  zmath; Siberian Math. J., 32:2 (1991), 210–221  isi 1
2018
34. A. V. Abanin, E. K. Basaeva, A. O. Vatulyan, S. K. Vodop'yanov, A. E. Gutman, V. A. Koibaev, Yu. F. Korobeinik, S. B. Klimentov, S. S. Kutateladze, A. A. Makhnev, B. B. Tasoev, S. M. Umarkhadzhiev, M. Z. Hudalov, “To the 65-th anniversary of prof. A. G. Kusraev”, Vladikavkaz. Mat. Zh., 20:2 (2018),  111–119  mathnet
2013
35. S. K. Vodop'yanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatoly Georgievich Kusraev is 60”, Sib. Èlektron. Mat. Izv., 10 (2013),  13–29  mathnet
36. S. K. Vodop'yanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatolii Georgievich Kusraev (on the occasion of his 60th anniversary)”, Vladikavkaz. Mat. Zh., 15:1 (2013),  90–97  mathnet
2005
37. A. E. Gutman, A. G. Kusraev, Yu. G. Reshetnyak, “On the $n$-th birthday of Semen Samsonovich Kutateladze for $n=60$”, Sib. Èlektron. Mat. Izv., 2 (2005),  12–33  mathnet  mathscinet  zmath
2003
38. S. S. Goncharov, A. E. Gutman, Yu. L. Ershov, S. S. Kutateladze, V. L. Makarov, A. M. Nakhushev, Yu. G. Reshetnyak, V. M. Tikhomirov, G. N. Shotaev, “Anatoliĭ Georgievich Kusraev (on the occasion of his fiftieth birthday)”, Vladikavkaz. Mat. Zh., 5:1 (2003),  5–7  mathnet  mathscinet 1

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