Garkavi Alexander Lwowich

Publications in Math-Net.Ru

1. On the approximation of functions in two variables by sums of the form $\varphi (x)+\psi (y)$ in the spaces $L_p$ ($1\le p\le \infty $)
   
   Sibirsk. Mat. Zh., 38:1 (1997),  56–68
2. On Existence of Best Approximation of a Function of Two Variables by Sums of Plane Waves
   
   Trudy Mat. Inst. Steklova, 219 (1997),  130–136
3. Existence of the best possible uniform approximation of a function of several variables by a sum of functions of fewer variables
   
   Mat. Sb., 187:5 (1996),  3–14
4. On existence of a best uniform approximation of a function in two variables by the sums $\varphi(x)+\psi(y)$
   
   Sibirsk. Mat. Zh., 36:4 (1995),  819–827
5. On minimization of integral functionals on the space of measurable functions
   
   Mat. Zametki, 54:5 (1993),  13–22
6. Certain extremal problem in a measure space
   
   Mat. Zametki, 48:4 (1990),  19–28
7. Algebraic and geometric components of Chebyshev rank of a system of vector-valued functions
   
   Sibirsk. Mat. Zh., 31:6 (1990),  39–45
8. Haar's condition for systems of vector-valued functions
   
   Mat. Zametki, 45:1 (1989),  10–15
9. Uniqueness of the best approximation in mean of vector-valued functions
   
   Mat. Zametki, 39:3 (1986),  337–348
10. Uniqueness of a continuation of positive functionals
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 9,  10–14
11. Estimating the norm of a conditional extension of a linear functional
    
    Mat. Zametki, 34:4 (1983),  559–572
12. Minimax balayage theorem and an inscribed ball problem
    
    Mat. Zametki, 30:1 (1981),  109–121
13. Method of cyclic descent in the problem of best approximation
    
    Mat. Zametki, 27:4 (1980),  549–558
14. On reliability of multicomputer systems
    
    Avtomat. i Telemekh., 1978, no. 4,  161–168
15. Conditional Chebyshev center of a bounded set of continuous functions
    
    Mat. Zametki, 18:1 (1975),  67–76
16. On the Lamé point and its generalizations in a normed space
    
    Mat. Sb. (N.S.), 95(137):2(10) (1974),  272–293
17. The conditional Chebyshev center of a compact set of continuous functions
    
    Mat. Zametki, 14:4 (1973),  469–478
18. A certain criterion for a $K$-system of continuous functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 4,  55–59
19. The Helly problem and best approximation of summable functions
    
    Mat. Sb. (N.S.), 84(126):2 (1971),  196–217
20. The existence of a best approximating element in $(F)$-space with integral metric
    
    Mat. Zametki, 8:5 (1970),  583–594
21. Characteristic of Chebyshev subspaces of finite codimension in $L_1$
    
    Mat. Zametki, 7:2 (1970),  155–163
22. The theory of best approximation in normed linear spaces
    
    Itogi Nauki. Ser. Matematika. Mat. Anal. 1967, 1969,  75–132
23. The Helly problem and best approximation in a space of continuous functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 31:3 (1967),  641–656
24. Approximative properties of sets in certain topological spaces
    
    Mat. Zametki, 2:5 (1967),  523–530
25. The unit sphere of the space of polynomials with integral metric
    
    Mat. Zametki, 1:3 (1967),  299–304
26. On compacta admitting Chebyshev systems of measures
    
    Mat. Sb. (N.S.), 74(116):2 (1967),  209–217
27. Almost-Chebyshev systems of continuous functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1965, no. 2,  36–44
28. Approximation properties of subspaces of finite defect in the space of continuous functions
    
    Dokl. Akad. Nauk SSSR, 155:3 (1964),  513–516
29. On Chebyshev and almost-Chebyshev subspaces
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:4 (1964),  799–818
30. On the uniqueness of the $L$-problem of moments
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:3 (1964),  553–570
31. On the Chebyshev center and convex hull of a set
    
    Uspekhi Mat. Nauk, 19:6(120) (1964),  139–145
32. A criterion for the element of best approximation
    
    Sibirsk. Mat. Zh., 5:2 (1964),  472–476
33. On Chebyshev and almost-Chebyshev subspaces
    
    Dokl. Akad. Nauk SSSR, 149:6 (1963),  1250–1252
34. A topology in Banach spaces
    
    Uspekhi Mat. Nauk, 18:1(109) (1963),  151–154
35. On best approximation by the elements of infinite-dimensional subspaces of a certain class
    
    Mat. Sb. (N.S.), 62(104):1 (1963),  104–120
36. On the optimal net and best cross-section of a set in a normed space
    
    Izv. Akad. Nauk SSSR Ser. Mat., 26:1 (1962),  87–106
37. Chebyshev and almost Chebyshev subspaces
    
    Uspekhi Mat. Nauk, 17:5(107) (1962),  195–196
38. Duality theorems for approximation by elements of convex sets
    
    Uspekhi Mat. Nauk, 16:4(100) (1961),  141–145
39. On the spaces of linear operators
    
    Dokl. Akad. Nauk SSSR, 132:3 (1960),  497–500
40. Simultaneous approximation to a periodic function and its derivatives by trigonometric polynomials
    
    Izv. Akad. Nauk SSSR Ser. Mat., 24:1 (1960),  103–128
41. Existence of the best net and the best width for set in a Banach space
    
    Uspekhi Mat. Nauk, 15:2(92) (1960),  210–211
42. Dimensionality of polyhedra of best approximation for differentiable functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 23:1 (1959),  93–114


43. Correction
    
    Uspekhi Mat. Nauk, 13:3(81) (1958),  254