Vlasov Leonid Petrovich

Publications in Math-Net.Ru

1. Alexandroff's Double Arrow Compact Space and Approximation Theory
   
   Mat. Zametki, 69:6 (2001),  820–827
2. “Suns” and geometric properties of the unit sphere in a Banach space
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  247–253
3. Finite-codimensional Chebyshev subspaces in the complex space $C(Q)$
   
   Mat. Zametki, 62:2 (1997),  178–191
4. Norm-attaining functionals on $C(Q,X)$
   
   Mat. Zametki, 61:1 (1997),  45–56
5. The problem of convexity of Chebyshev sets
   
   Uspekhi Mat. Nauk, 51:6(312) (1996),  125–188
6. Minimizing nets and generalized best approximation elements
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  146–156
7. Existence of best approximation elements in $C(Q,X)$
   
   Mat. Zametki, 58:2 (1995),  163–175
8. Continuity of the metric projection on convex sets
   
   Mat. Zametki, 52:6 (1992),  3–9
9. Duality of faces of the unit sphere in Banach spaces
   
   Dokl. Akad. Nauk SSSR, 292:4 (1987),  788–790
10. The existence of elements of best approximation in the complex space $C(Q)$
    
    Mat. Zametki, 40:5 (1986),  627–634
11. Subspaces of finite codimension: The existence of elements of best approximation
    
    Mat. Zametki, 37:1 (1985),  78–85
12. Closed faces of the unit ball in Banach spaces
    
    Dokl. Akad. Nauk SSSR, 273:3 (1983),  529–531
13. Boundary of the unit ball and approximation by elements of subspaces of finite codimension in $C(Q)$
    
    Mat. Zametki, 34:5 (1983),  699–710
14. Elements of best approximation relative to subspaces of finite codimension
    
    Mat. Zametki, 32:3 (1982),  325–341
15. Continuity of the metric projection
    
    Mat. Zametki, 30:6 (1981),  813–818
16. A characterization of generalized and classical best approximation elements relative to spaces of finite codimension
    
    Mat. Zametki, 28:5 (1980),  707–716
17. Approximative properties of subspaces of finite codimension in $C(Q)$
    
    Mat. Zametki, 28:2 (1980),  205–222
18. Uniqueness of generalized elements of best approximation
    
    Mat. Zametki, 25:2 (1979),  161–175
19. Properties of generalized elements of best approximation
    
    Mat. Zametki, 24:4 (1978),  513–522
20. Generalized elements of best approximation
    
    Mat. Zametki, 19:4 (1976),  513–523
21. Almost convex sets
    
    Mat. Zametki, 18:3 (1975),  343–356
22. The concept of approximative compactness and alternate versions of it
    
    Mat. Zametki, 16:2 (1974),  337–348
23. “Solar” properties of sets in Banach spaces
    
    Mat. Zametki, 13:6 (1973),  795–805
24. Approximative properties of sets in normed linear spaces
    
    Uspekhi Mat. Nauk, 28:6(174) (1973),  3–66
25. Some theorems on Chebyshev sets
    
    Mat. Zametki, 11:2 (1972),  135–144
26. Approximate properties of sets in Banach spaces
    
    Mat. Zametki, 7:5 (1970),  593–604
27. Methods of summation and best approximation
    
    Mat. Zametki, 4:1 (1968),  11–20
28. Chebyshev sets and some generalizations of them
    
    Mat. Zametki, 3:1 (1968),  59–69
29. On Cebysev sets
    
    Dokl. Akad. Nauk SSSR, 173:3 (1967),  491–494
30. Chebyshev sets and approximately convex sets
    
    Mat. Zametki, 2:2 (1967),  191–200
31. Approximatively convex sets in uniformly smooth spaces
    
    Mat. Zametki, 1:4 (1967),  443–449
32. On almost convex sets in Banach spaces
    
    Dokl. Akad. Nauk SSSR, 163:1 (1965),  18–21
33. Chebyshev sets in Banach spaces
    
    Dokl. Akad. Nauk SSSR, 141:1 (1961),  19–20