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Korotkov, Vitalii Borisovich
Statistics Math-Net.Ru
Total publications: 83
Scientific articles: 83

Number of views:
This page:2640
Abstract pages:11764
Full texts:4468
References:1017

https://www.mathnet.ru/eng/person28428
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https://mathscinet.ams.org/mathscinet/MRAuthorID/223706

Publications in Math-Net.Ru Citations
2021
1. V. B. Korotkov, “About the limit spectra of some unbounded selfadjoint integral operators”, Sibirsk. Mat. Zh., 62:4 (2021),  807–811  mathnet  elib; Siberian Math. J., 62:4 (2021), 657–660  isi  scopus
2. V. B. Korotkov, “On almost compactness of some partially integral operators in $L_{p}$”, Sibirsk. Mat. Zh., 62:2 (2021),  333–338  mathnet  elib; Siberian Math. J., 62:2 (2021), 267–271  isi  scopus
2020
3. V. B. Korotkov, “On unbounded integral operators with quasisymmetric kernels”, Vladikavkaz. Mat. Zh., 22:2 (2020),  18–23  mathnet
2019
4. V. B. Korotkov, “On one class of linear operators in $L_2$”, Sibirsk. Mat. Zh., 60:1 (2019),  118–122  mathnet  elib; Siberian Math. J., 60:1 (2019), 89–92  isi  scopus 1
2018
5. V. B. Korotkov, “Convolution integral operators”, Sibirsk. Mat. Zh., 59:4 (2018),  858–862  mathnet  elib; Siberian Math. J., 59:4 (2018), 677–680  isi  scopus
2017
6. V. B. Korotkov, “On systems of linear functional equations of the second kind in $L_2$”, Sibirsk. Mat. Zh., 58:5 (2017),  1091–1097  mathnet  elib; Siberian Math. J., 58:5 (2017), 845–849  isi  elib  scopus
7. V. B. Korotkov, “Integral equations of the third kind with unbounded operators”, Sibirsk. Mat. Zh., 58:2 (2017),  333–343  mathnet  elib; Siberian Math. J., 58:2 (2017), 255–263  isi  elib  scopus 2
2016
8. V. B. Korotkov, “Measure compact, almost compact, and integral operators of the first, second, and third kind”, Sibirsk. Mat. Zh., 57:2 (2016),  373–387  mathnet  mathscinet  elib; Siberian Math. J., 57:2 (2016), 292–302  isi  scopus
9. V. B. Korotkov, “On partially measure compact unbounded linear operators on $L_2$”, Vladikavkaz. Mat. Zh., 18:1 (2016),  36–41  mathnet 2
2015
10. V. B. Korotkov, “On systems of linear functional equations of the third kind in $L_2$”, Sibirsk. Mat. Zh., 56:3 (2015),  549–556  mathnet  mathscinet  elib; Siberian Math. J., 56:3 (2015), 435–441  isi  elib  scopus 1
2014
11. V. B. Korotkov, “On the similarity of linear operators in $L_p$ to integral operators of the first and second kind”, Sibirsk. Mat. Zh., 55:1 (2014),  124–130  mathnet  mathscinet; Siberian Math. J., 55:1 (2014), 100–104  isi  scopus 1
2013
12. V. B. Korotkov, “Linear functional equations of the first, second, and third kind in $L_2$”, Sibirsk. Mat. Zh., 54:6 (2013),  1294–1303  mathnet  mathscinet; Siberian Math. J., 54:6 (2013), 1029–1036  isi  scopus 2
13. V. B. Korotkov, “Measure-compact operators, almost compact operators, and linear functional equations in $L_p$”, Sibirsk. Mat. Zh., 54:3 (2013),  610–619  mathnet  mathscinet; Siberian Math. J., 54:3 (2013), 479–486  isi  scopus 2
2011
14. V. B. Korotkov, “On some algebra of continuous linear operators”, Sibirsk. Mat. Zh., 52:2 (2011),  310–314  mathnet  mathscinet; Siberian Math. J., 52:2 (2011), 244–247  isi  scopus 1
2010
15. V. B. Korotkov, “The limit spectrum of a positive operator in $L_2$ that is integral on some subspace”, Sibirsk. Mat. Zh., 51:3 (2010),  569–574  mathnet  mathscinet  zmath  elib; Siberian Math. J., 51:3 (2010), 452–455  isi  elib  scopus
2009
16. V. B. Korotkov, “$\langle2,1\rangle$-Compact operators”, Sibirsk. Mat. Zh., 50:1 (2009),  118–122  mathnet  mathscinet; Siberian Math. J., 50:1 (2009), 96–99  isi  scopus
2008
17. V. B. Korotkov, “On the functions of one selfadjoint integral operator”, Sibirsk. Mat. Zh., 49:5 (2008),  1083–1086  mathnet  mathscinet  elib; Siberian Math. J., 49:5 (2008), 857–859  isi  elib  scopus
2006
18. V. B. Korotkov, “Reduction of operator families to integral form”, Sibirsk. Mat. Zh., 47:5 (2006),  1092–1098  mathnet  mathscinet  zmath; Siberian Math. J., 47:5 (2006), 896–900  isi  scopus 1
2005
19. V. B. Korotkov, “One criterion for nuclearity of linear operators”, Sibirsk. Mat. Zh., 46:5 (2005),  1072–1078  mathnet  mathscinet  zmath; Siberian Math. J., 46:5 (2005), 857–862  isi
2003
20. V. B. Korotkov, “On the integral operators of the third kind”, Sibirsk. Mat. Zh., 44:5 (2003),  1063–1066  mathnet  mathscinet  zmath; Siberian Math. J., 44:5 (2003), 829–832  isi 4
2002
21. V. B. Korotkov, “Integral operators and absolute convergence systems”, Sibirsk. Mat. Zh., 43:3 (2002),  573–578  mathnet  mathscinet  zmath; Siberian Math. J., 43:3 (2002), 458–462  isi 1
2000
22. V. B. Korotkov, “On the nonintegrability of functions of some integral and partial integral operators”, Sibirsk. Mat. Zh., 41:3 (2000),  625–628  mathnet  mathscinet  zmath; Siberian Math. J., 41:3 (2000), 518–520
1998
23. V. B. Korotkov, “On the nonintegrality of Fredholm resolvents of some integral operators”, Sibirsk. Mat. Zh., 39:4 (1998),  905–907  mathnet  mathscinet  zmath; Siberian Math. J., 39:4 (1998), 781–783  isi 3
24. V. B. Korotkov, “A nuclearity criterion for linear operators”, Sibirsk. Mat. Zh., 39:3 (1998),  560–564  mathnet  mathscinet  zmath; Siberian Math. J., 39:3 (1998), 484–487  isi 1
1997
25. V. B. Korotkov, “On algebraic properties of Akhiezer integral operators”, Sibirsk. Mat. Zh., 38:3 (1997),  569–572  mathnet  mathscinet  zmath; Siberian Math. J., 38:3 (1997), 488–491  isi 1
1996
26. V. B. Korotkov, “Some unsolved problems of the theory of integral operators”, Trudy Inst. Mat. SO RAN, 31 (1996),  187–196  mathnet  mathscinet  zmath
27. V. B. Korotkov, “On some algebraic properties of integral operators”, Sibirsk. Mat. Zh., 37:6 (1996),  1347–1349  mathnet  mathscinet  zmath; Siberian Math. J., 37:6 (1996), 1182–1183  isi
1994
28. V. B. Korotkov, “On left ideals of sets of partially integral operators”, Sibirsk. Mat. Zh., 35:3 (1994),  622–623  mathnet  mathscinet  zmath; Siberian Math. J., 35:3 (1994), 556–557  isi
1993
29. V. B. Korotkov, “Reducing certain operator families to integral form”, Sibirsk. Mat. Zh., 34:3 (1993),  97–101  mathnet  mathscinet  zmath; Siberian Math. J., 34:3 (1993), 481–485  isi 3
30. V. B. Korotkov, “On resolvents of integral and partially integral operators”, Sibirsk. Mat. Zh., 34:2 (1993),  88–91  mathnet  mathscinet  zmath; Siberian Math. J., 34:2 (1993), 276–279  isi
1992
31. V. B. Korotkov, “Properties of integral and partial integral operators”, Sibirsk. Mat. Zh., 33:1 (1992),  201–204  mathnet  mathscinet  zmath; Siberian Math. J., 33:1 (1992), 166–168  isi 1
1990
32. V. B. Korotkov, “Ideals of sets of integral and partially integral operators”, Sibirsk. Mat. Zh., 31:4 (1990),  207–211  mathnet  mathscinet  zmath; Siberian Math. J., 31:4 (1990), 704–708  isi
1989
33. V. B. Korotkov, “Partially integral operators”, Sibirsk. Mat. Zh., 30:5 (1989),  80–83  mathnet  mathscinet  zmath; Siberian Math. J., 30:5 (1989), 727–730  isi
1987
34. V. B. Korotkov, “Algebraic properties of convolutions in $L_2(R_N)$”, Sibirsk. Mat. Zh., 28:5 (1987),  78–81  mathnet  mathscinet  zmath; Siberian Math. J., 28:5 (1987), 754–756  isi
35. V. B. Korotkov, “On ideals generated by integral operators”, Sibirsk. Mat. Zh., 28:4 (1987),  102–104  mathnet  mathscinet  zmath; Siberian Math. J., 28:4 (1987), 597–599  isi
36. V. B. Korotkov, “On the reduction of families of operators to integral form”, Sibirsk. Mat. Zh., 28:3 (1987),  149–151  mathnet  mathscinet  zmath; Siberian Math. J., 28:3 (1987), 470–472  isi 3
37. V. B. Korotkov, “On a method for solving integral equations with arbitrary kernels”, Sibirsk. Mat. Zh., 28:1 (1987),  119–122  mathnet  mathscinet  zmath; Siberian Math. J., 28:1 (1987), 89–92  isi 1
1986
38. V. B. Korotkov, “Systems of integral equations”, Sibirsk. Mat. Zh., 27:3 (1986),  121–133  mathnet  mathscinet  zmath; Siberian Math. J., 27:3 (1986), 406–416  isi 2
1985
39. V. B. Korotkov, “Regular and compact factorization of integral operators”, Sibirsk. Mat. Zh., 26:1 (1985),  213–216  mathnet  mathscinet  zmath
1982
40. V. B. Korotkov, “Regular compact factorization of integral operators in $L_p$”, Mat. Zametki, 32:5 (1982),  601–606  mathnet  mathscinet  zmath; Math. Notes, 32:5 (1982), 785–788  isi 8
41. V. B. Korotkov, “An example of an operator that cannot be approximated by sums of integral operators and products”, Sibirsk. Mat. Zh., 23:6 (1982),  172–174  mathnet  mathscinet  zmath
42. V. B. Korotkov, “On Halmos–Sunder problems concerning integral operators in $L_2$”, Sibirsk. Mat. Zh., 23:3 (1982),  214–216  mathnet  mathscinet  zmath 2
43. V. B. Korotkov, V. D. Stepanov, “Criteria for the generation of integral operators by measurable functions”, Sibirsk. Mat. Zh., 23:2 (1982),  199–203  mathnet  mathscinet  zmath 2
1981
44. V. B. Korotkov, “Unitary equivalence of linear operators to bi-Carleman integral operators”, Mat. Zametki, 30:2 (1981),  255–260  mathnet  mathscinet  zmath; Math. Notes, 30:2 (1981), 615–617  isi
45. V. B. Korotkov, “Characteristic properties of unbounded general integral operators”, Sibirsk. Mat. Zh., 22:3 (1981),  67–73  mathnet  mathscinet  zmath; Siberian Math. J., 22:3 (1981), 381–386  isi 1
1980
46. V. B. Korotkov, “Some properties of $B$-integral operators in $L_2$”, Sibirsk. Mat. Zh., 21:6 (1980),  161–164  mathnet  mathscinet  zmath; Siberian Math. J., 21:6 (1980), 871–873  isi
47. V. B. Korotkov, “Some properties of integral and partially integral operators in $L_2$”, Sibirsk. Mat. Zh., 21:1 (1980),  98–105  mathnet  mathscinet  zmath; Siberian Math. J., 21:1 (1980), 73–78  isi 4
1979
48. V. B. Korotkov, “General integral equations of the third kind”, Differ. Uravn., 15:6 (1979),  1097–1105  mathnet  mathscinet  zmath 2
1978
49. V. B. Korotkov, “A criterion for unitary equivalence of unbounded operators to integral operators”, Mat. Zametki, 23:2 (1978),  271–280  mathnet  mathscinet  zmath; Math. Notes, 23:2 (1978), 147–151
50. V. B. Korotkov, “The existence of nonintegral operators in certain two-sided operator ideals”, Sibirsk. Mat. Zh., 19:6 (1978),  1399–1402  mathnet  mathscinet  zmath; Siberian Math. J., 19:6 (1978), 987–989  isi
51. V. B. Korotkov, “Integral and partially integral operators”, Sibirsk. Mat. Zh., 19:1 (1978),  70–90  mathnet  mathscinet  zmath; Siberian Math. J., 19:1 (1978), 48–63  isi 4
1977
52. V. B. Korotkov, “A lower bound of the error for cubature formulas”, Sibirsk. Mat. Zh., 18:5 (1977),  1188–1191  mathnet  mathscinet  zmath; Siberian Math. J., 18:5 (1977), 845–847  isi
1976
53. V. B. Korotkov, “The unitary equivalence of linear operatops to integral operators”, Mat. Zametki, 19:4 (1976),  601–610  mathnet  mathscinet  zmath; Math. Notes, 19:4 (1976), 364–368
1974
54. V. B. Korotkov, “On some properties of partially integral operators”, Dokl. Akad. Nauk SSSR, 217:4 (1974),  752–754  mathnet  mathscinet  zmath 4
55. V. B. Korotkov, “Strong integral operators”, Mat. Zametki, 16:6 (1974),  907–912  mathnet  mathscinet  zmath; Math. Notes, 16:6 (1974), 1137–1140 4
56. V. B. Korotkov, “The Carleman nature of functions of selfadjoint operators”, Sibirsk. Mat. Zh., 15:4 (1974),  845–854  mathnet  mathscinet  zmath; Siberian Math. J., 15 (1974), 600–606
57. V. B. Korotkov, “Integral representations of linear operators”, Sibirsk. Mat. Zh., 15:3 (1974),  529–545  mathnet  mathscinet  zmath; Siberian Math. J., 15:3 (1974), 379–391 2
1971
58. V. B. Korotkov, “On integral representations of linear operators”, Dokl. Akad. Nauk SSSR, 198:4 (1971),  755–758  mathnet  mathscinet  zmath 1
59. V. B. Korotkov, “Integral operators with kernels that satisfy the Carleman and Ahiezer conditions. II”, Sibirsk. Mat. Zh., 12:6 (1971),  1301–1310  mathnet  mathscinet  zmath; Siberian Math. J., 12:6 (1971), 938–945
60. V. B. Korotkov, “Integral operators with kernels that satisfy the Carleman and Ahiezer conditions. I”, Sibirsk. Mat. Zh., 12:5 (1971),  1041–1055  mathnet  mathscinet  zmath; Siberian Math. J., 12:5 (1971), 750–760 2
61. V. B. Korotkov, “Carleman operators in spaces of abstract functions. II”, Sibirsk. Mat. Zh., 12:4 (1971),  737–747  mathnet  mathscinet  zmath; Siberian Math. J., 12:4 (1971), 523–530
62. V. B. Korotkov, “Carleman operators in spaces of abstract functions. I”, Sibirsk. Mat. Zh., 12:4 (1971),  727–736  mathnet  mathscinet  zmath; Siberian Math. J., 12:4 (1971), 516–522 1
1970
63. V. B. Korotkov, “On integral operators”, Dokl. Akad. Nauk SSSR, 195:6 (1970),  1267–1269  mathnet  mathscinet  zmath
64. V. B. Korotkov, “Classification and characteristic properties of Carleman operators”, Dokl. Akad. Nauk SSSR, 190:6 (1970),  1274–1277  mathnet  mathscinet  zmath 3
65. V. B. Korotkov, “Characteristic properties of strong integral and strong $B$-integral self-adjoint operators”, Mat. Zametki, 8:5 (1970),  653–661  mathnet  mathscinet  zmath; Math. Notes, 8:5 (1970), 838–842
66. I. G. Globenko, V. B. Korotkov, “Certain properties of Carleman operators”, Sibirsk. Mat. Zh., 11:5 (1970),  988–998  mathnet  mathscinet  zmath; Siberian Math. J., 11:5 (1970), 736–743
67. V. B. Korotkov, “Operators that increase smoothness”, Sibirsk. Mat. Zh., 11:4 (1970),  938–941  mathnet  mathscinet  zmath; Siberian Math. J., 11:4 (1970), 706–708
68. V. B. Korotkov, “Characteristic properties of integral operators with Carleman type kernels”, Sibirsk. Mat. Zh., 11:1 (1970),  103–127  mathnet  mathscinet  zmath; Siberian Math. J., 11:1 (1970), 84–104 6
1969
69. V. B. Korotkov, “The Carleman nature of the resolvents of certain linear operators”, Dokl. Akad. Nauk SSSR, 185:4 (1969),  757–759  mathnet  mathscinet  zmath
70. V. B. Korotkov, “On the problem of G. Targonski concerning the relation between the kernel of a normal Carleman operator and the kernel of the adjoint operator”, Mat. Zametki, 6:5 (1969),  599–606  mathnet  mathscinet  zmath; Math. Notes, 6:5 (1969), 821–825 1
71. V. B. Korotkov, “Embedding theorems for spaces of abstract functions, and complete continuity of the embedding operator”, Sibirsk. Mat. Zh., 10:4 (1969),  872–902  mathnet  mathscinet  zmath; Siberian Math. J., 10:4 (1969), 640–663
1968
72. V. B. Korotkov, “The limit spectrum of self-adjoint operators with Carleman kernels”, Sibirsk. Mat. Zh., 9:5 (1968),  1167–1172  mathnet  mathscinet  zmath; Siberian Math. J., 9:5 (1968), 871–874
1967
73. V. B. Korotkov, “$T$-invariance of the coefficients of quasi-linear hyperbolic equations”, Dokl. Akad. Nauk SSSR, 172:2 (1967),  271–274  mathnet  mathscinet  zmath
1966
74. V. B. Korotkov, “Integral operators with Carleman kernels”, Differ. Uravn., 2:2 (1966),  252–265  mathnet  mathscinet
1965
75. V. B. Korotkov, “On integral operators with Carleman kernels”, Dokl. Akad. Nauk SSSR, 165:4 (1965),  748–751  mathnet  mathscinet  zmath 1
76. V. B. Korotkov, “Compactness criteria in abstract function spaces and the complete continuity of the embedding operator”, Dokl. Akad. Nauk SSSR, 160:3 (1965),  530–533  mathnet  mathscinet  zmath 1
77. V. B. Korotkov, “Representations of completely continuous operators and some questions in the theory of scales”, Sibirsk. Mat. Zh., 6:1 (1965),  86–107  mathnet  mathscinet  zmath
1964
78. V. B. Korotkov, Yu. I. Gil'derman, “The Fourier transform for abstract set functions”, Sibirsk. Mat. Zh., 5:4 (1964),  844–852  mathnet  mathscinet  zmath
1963
79. V. B. Korotkov, “Representations of continuous linear operators by abstract functions, and imbedding theorems”, Dokl. Akad. Nauk SSSR, 153:2 (1963),  262–265  mathnet  mathscinet  zmath
80. Yu. I. Gil'derman, V. B. Korotkov, “On the general form of completely continuous operators acting from $L_p$ into a $B$-space $X$”, Sibirsk. Mat. Zh., 4:6 (1963),  1426–1430  mathnet  mathscinet  zmath
1962
81. V. B. Korotkov, “Abstract set functions and imbedding theorems”, Dokl. Akad. Nauk SSSR, 146:3 (1962),  531–534  mathnet  mathscinet  zmath
82. V. B. Korotkov, “On direct and inverse imbedding theorems for some spaces of abstract set functions”, Dokl. Akad. Nauk SSSR, 144:4 (1962),  717–720  mathnet  mathscinet  zmath
1961
83. V. B. Korotkov, “On Sobolev's imbedding theorems for abstract functions”, Dokl. Akad. Nauk SSSR, 141:2 (1961),  308–311  mathnet  mathscinet  zmath

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