Korotkov Vitalii Borisovich

Publications in Math-Net.Ru

1. About the limit spectra of some unbounded selfadjoint integral operators
   
   Sibirsk. Mat. Zh., 62:4 (2021),  807–811
2. On almost compactness of some partially integral operators in $L_{p}$
   
   Sibirsk. Mat. Zh., 62:2 (2021),  333–338
3. On unbounded integral operators with quasisymmetric kernels
   
   Vladikavkaz. Mat. Zh., 22:2 (2020),  18–23
4. On one class of linear operators in $L_2$
   
   Sibirsk. Mat. Zh., 60:1 (2019),  118–122
5. Convolution integral operators
   
   Sibirsk. Mat. Zh., 59:4 (2018),  858–862
6. On systems of linear functional equations of the second kind in $L_2$
   
   Sibirsk. Mat. Zh., 58:5 (2017),  1091–1097
7. Integral equations of the third kind with unbounded operators
   
   Sibirsk. Mat. Zh., 58:2 (2017),  333–343
8. Measure compact, almost compact, and integral operators of the first, second, and third kind
   
   Sibirsk. Mat. Zh., 57:2 (2016),  373–387
9. On partially measure compact unbounded linear operators on $L_2$
   
   Vladikavkaz. Mat. Zh., 18:1 (2016),  36–41
10. On systems of linear functional equations of the third kind in $L_2$
    
    Sibirsk. Mat. Zh., 56:3 (2015),  549–556
11. 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
12. Linear functional equations of the first, second, and third kind in $L_2$
    
    Sibirsk. Mat. Zh., 54:6 (2013),  1294–1303
13. Measure-compact operators, almost compact operators, and linear functional equations in $L_p$
    
    Sibirsk. Mat. Zh., 54:3 (2013),  610–619
14. On some algebra of continuous linear operators
    
    Sibirsk. Mat. Zh., 52:2 (2011),  310–314
15. The limit spectrum of a positive operator in $L_2$ that is integral on some subspace
    
    Sibirsk. Mat. Zh., 51:3 (2010),  569–574
16. $\langle2,1\rangle$-Compact operators
    
    Sibirsk. Mat. Zh., 50:1 (2009),  118–122
17. On the functions of one selfadjoint integral operator
    
    Sibirsk. Mat. Zh., 49:5 (2008),  1083–1086
18. Reduction of operator families to integral form
    
    Sibirsk. Mat. Zh., 47:5 (2006),  1092–1098
19. One criterion for nuclearity of linear operators
    
    Sibirsk. Mat. Zh., 46:5 (2005),  1072–1078
20. On the integral operators of the third kind
    
    Sibirsk. Mat. Zh., 44:5 (2003),  1063–1066
21. Integral operators and absolute convergence systems
    
    Sibirsk. Mat. Zh., 43:3 (2002),  573–578
22. On the nonintegrability of functions of some integral and partial integral operators
    
    Sibirsk. Mat. Zh., 41:3 (2000),  625–628
23. On the nonintegrality of Fredholm resolvents of some integral operators
    
    Sibirsk. Mat. Zh., 39:4 (1998),  905–907
24. A nuclearity criterion for linear operators
    
    Sibirsk. Mat. Zh., 39:3 (1998),  560–564
25. On algebraic properties of Akhiezer integral operators
    
    Sibirsk. Mat. Zh., 38:3 (1997),  569–572
26. Some unsolved problems of the theory of integral operators
    
    Trudy Inst. Mat. SO RAN, 31 (1996),  187–196
27. On some algebraic properties of integral operators
    
    Sibirsk. Mat. Zh., 37:6 (1996),  1347–1349
28. On left ideals of sets of partially integral operators
    
    Sibirsk. Mat. Zh., 35:3 (1994),  622–623
29. Reducing certain operator families to integral form
    
    Sibirsk. Mat. Zh., 34:3 (1993),  97–101
30. On resolvents of integral and partially integral operators
    
    Sibirsk. Mat. Zh., 34:2 (1993),  88–91
31. Properties of integral and partial integral operators
    
    Sibirsk. Mat. Zh., 33:1 (1992),  201–204
32. Ideals of sets of integral and partially integral operators
    
    Sibirsk. Mat. Zh., 31:4 (1990),  207–211
33. Partially integral operators
    
    Sibirsk. Mat. Zh., 30:5 (1989),  80–83
34. Algebraic properties of convolutions in $L_2(R_N)$
    
    Sibirsk. Mat. Zh., 28:5 (1987),  78–81
35. On ideals generated by integral operators
    
    Sibirsk. Mat. Zh., 28:4 (1987),  102–104
36. On the reduction of families of operators to integral form
    
    Sibirsk. Mat. Zh., 28:3 (1987),  149–151
37. On a method for solving integral equations with arbitrary kernels
    
    Sibirsk. Mat. Zh., 28:1 (1987),  119–122
38. Systems of integral equations
    
    Sibirsk. Mat. Zh., 27:3 (1986),  121–133
39. Regular and compact factorization of integral operators
    
    Sibirsk. Mat. Zh., 26:1 (1985),  213–216
40. Regular compact factorization of integral operators in $L_p$
    
    Mat. Zametki, 32:5 (1982),  601–606
41. An example of an operator that cannot be approximated by sums of integral operators and products
    
    Sibirsk. Mat. Zh., 23:6 (1982),  172–174
42. On Halmos–Sunder problems concerning integral operators in $L_2$
    
    Sibirsk. Mat. Zh., 23:3 (1982),  214–216
43. Criteria for the generation of integral operators by measurable functions
    
    Sibirsk. Mat. Zh., 23:2 (1982),  199–203
44. Unitary equivalence of linear operators to bi-Carleman integral operators
    
    Mat. Zametki, 30:2 (1981),  255–260
45. Characteristic properties of unbounded general integral operators
    
    Sibirsk. Mat. Zh., 22:3 (1981),  67–73
46. Some properties of $B$-integral operators in $L_2$
    
    Sibirsk. Mat. Zh., 21:6 (1980),  161–164
47. Some properties of integral and partially integral operators in $L_2$
    
    Sibirsk. Mat. Zh., 21:1 (1980),  98–105
48. General integral equations of the third kind
    
    Differ. Uravn., 15:6 (1979),  1097–1105
49. A criterion for unitary equivalence of unbounded operators to integral operators
    
    Mat. Zametki, 23:2 (1978),  271–280
50. The existence of nonintegral operators in certain two-sided operator ideals
    
    Sibirsk. Mat. Zh., 19:6 (1978),  1399–1402
51. Integral and partially integral operators
    
    Sibirsk. Mat. Zh., 19:1 (1978),  70–90
52. A lower bound of the error for cubature formulas
    
    Sibirsk. Mat. Zh., 18:5 (1977),  1188–1191
53. The unitary equivalence of linear operatops to integral operators
    
    Mat. Zametki, 19:4 (1976),  601–610
54. On some properties of partially integral operators
    
    Dokl. Akad. Nauk SSSR, 217:4 (1974),  752–754
55. Strong integral operators
    
    Mat. Zametki, 16:6 (1974),  907–912
56. The Carleman nature of functions of selfadjoint operators
    
    Sibirsk. Mat. Zh., 15:4 (1974),  845–854
57. Integral representations of linear operators
    
    Sibirsk. Mat. Zh., 15:3 (1974),  529–545
58. On integral representations of linear operators
    
    Dokl. Akad. Nauk SSSR, 198:4 (1971),  755–758
59. Integral operators with kernels that satisfy the Carleman and Ahiezer conditions. II
    
    Sibirsk. Mat. Zh., 12:6 (1971),  1301–1310
60. Integral operators with kernels that satisfy the Carleman and Ahiezer conditions. I
    
    Sibirsk. Mat. Zh., 12:5 (1971),  1041–1055
61. Carleman operators in spaces of abstract functions. II
    
    Sibirsk. Mat. Zh., 12:4 (1971),  737–747
62. Carleman operators in spaces of abstract functions. I
    
    Sibirsk. Mat. Zh., 12:4 (1971),  727–736
63. On integral operators
    
    Dokl. Akad. Nauk SSSR, 195:6 (1970),  1267–1269
64. Classification and characteristic properties of Carleman operators
    
    Dokl. Akad. Nauk SSSR, 190:6 (1970),  1274–1277
65. Characteristic properties of strong integral and strong $B$-integral self-adjoint operators
    
    Mat. Zametki, 8:5 (1970),  653–661
66. Certain properties of Carleman operators
    
    Sibirsk. Mat. Zh., 11:5 (1970),  988–998
67. Operators that increase smoothness
    
    Sibirsk. Mat. Zh., 11:4 (1970),  938–941
68. Characteristic properties of integral operators with Carleman type kernels
    
    Sibirsk. Mat. Zh., 11:1 (1970),  103–127
69. The Carleman nature of the resolvents of certain linear operators
    
    Dokl. Akad. Nauk SSSR, 185:4 (1969),  757–759
70. 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
71. Embedding theorems for spaces of abstract functions, and complete continuity of the embedding operator
    
    Sibirsk. Mat. Zh., 10:4 (1969),  872–902
72. The limit spectrum of self-adjoint operators with Carleman kernels
    
    Sibirsk. Mat. Zh., 9:5 (1968),  1167–1172
73. $T$-invariance of the coefficients of quasi-linear hyperbolic equations
    
    Dokl. Akad. Nauk SSSR, 172:2 (1967),  271–274
74. Integral operators with Carleman kernels
    
    Differ. Uravn., 2:2 (1966),  252–265
75. On integral operators with Carleman kernels
    
    Dokl. Akad. Nauk SSSR, 165:4 (1965),  748–751
76. Compactness criteria in abstract function spaces and the complete continuity of the embedding operator
    
    Dokl. Akad. Nauk SSSR, 160:3 (1965),  530–533
77. Representations of completely continuous operators and some questions in the theory of scales
    
    Sibirsk. Mat. Zh., 6:1 (1965),  86–107
78. The Fourier transform for abstract set functions
    
    Sibirsk. Mat. Zh., 5:4 (1964),  844–852
79. Representations of continuous linear operators by abstract functions, and imbedding theorems
    
    Dokl. Akad. Nauk SSSR, 153:2 (1963),  262–265
80. 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
81. Abstract set functions and imbedding theorems
    
    Dokl. Akad. Nauk SSSR, 146:3 (1962),  531–534
82. On direct and inverse imbedding theorems for some spaces of abstract set functions
    
    Dokl. Akad. Nauk SSSR, 144:4 (1962),  717–720
83. On Sobolev's imbedding theorems for abstract functions
    
    Dokl. Akad. Nauk SSSR, 141:2 (1961),  308–311