01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
14.01.1948
Keywords:
polinomial pencils; operator-valued function; K-functionals; asymptotics of the eigenvalues; completeness and minimality of root vectors; boundary value problems.
Main publications:
Radzievskii G. V. Ob odnom obobschenii formuly dlya opredeleniya shiriny polosy golomorfnosti funktsii // Funkts. analiz i ego pril., 1999, 33(2), 43–57.
Radzievskii G. V. Pryamye i obratnye teoremy v zadachakh o priblizhenii po vektoram konechnoi stepeni // Matem. sb., 1998, 189(4), 83–124.
Radzievskii G. V. Asimptotika sobstvennykh znachenii regulyarnoi kraevoi zadachi // Ukr. matem. zhurn., 1996, 48(4), 483–519.
Radzievskii G. V. O lineinoi nezavisimosti proizvodnykh po Keldyshu tsepochek u analiticheskikh v poluploskosti operator-funktsii // Matem. sb., 1987, 132(4), 556–577.
Radzievskii G. V. Zadachi o polnote kornevykh vektorov v spektralnoi teorii operator-funktsii // UMN, 1982, 37(2), 81–145.
G. V. Radzievskii, “On the norms of Riesz projections onto subspaces of root functions of a boundary value problem for a functional-differential expression”, Differ. Uravn., 42:1 (2006), 48–60; Differ. Equ., 42:1 (2006), 54–67
G. V. Radzievskii, “Direct and inverse theorems on approximation by root
functions of a regular boundary-value problem”, Mat. Sb., 197:7 (2006), 87–136; Sb. Math., 197:7 (2006), 1037–1083
G. V. Radzievskii, “Existence Theorems for Momentum Representations Generalized in the Sense of Dzyadyk”, Mat. Zametki, 75:2 (2004), 253–260; Math. Notes, 75:2 (2004), 229–235
E. I. Radzievskaya, G. V. Radzievskii, “The remainder term of the Taylor expansion for a holomorphic function is representable in Lagrange form”, Sibirsk. Mat. Zh., 44:2 (2003), 402–414; Siberian Math. J., 44:2 (2003), 322–331
G. V. Radzievskii, “Characterization of Hadamard vector classes in terms of least deviations of their elements from vectors of finite degree”, Mat. Sb., 192:12 (2001), 93–144; Sb. Math., 192:12 (2001), 1829–1876
1999
6.
G. V. Radzievskii, “A Generalization of Bernstein's Formula for the Width of a Strip in Which a Function Is Holomorphic”, Funktsional. Anal. i Prilozhen., 33:2 (1999), 43–57; Funct. Anal. Appl., 33:2 (1999), 116–127
G. V. Radzievskii, “Direct and converse theorems in problems of approximation by vectors of finite degree”, Mat. Sb., 189:4 (1998), 83–124; Sb. Math., 189:4 (1998), 561–601
A. M. Gomilko, G. V. Radzievskii, “On the numerical ranges of a family of commuting operators”, Mat. Zametki, 62:5 (1997), 787–791; Math. Notes, 62:5 (1997), 659–663
G. V. Radzievskii, “Boundary Value Problems and Related Moduli of Continuity”, Funktsional. Anal. i Prilozhen., 29:3 (1995), 87–90; Funct. Anal. Appl., 29:3 (1995), 217–219
A. M. Gomilko, G. V. Radzievskii, “Equiconvergence of series in eigenfunctions of ordinary
functional-differential operators”, Dokl. Akad. Nauk SSSR, 316:2 (1991), 265–270; Dokl. Math., 43:1 (1991), 47–52
A. M. Gomilko, G. V. Radzievskii, “Basis properties of eigenfunctions of a regular boundary value problem for a vector functional-differential equation”, Differ. Uravn., 27:3 (1991), 384–396; Differ. Equ., 27:3 (1991), 264–273
A. M. Gomilko, G. V. Radzievskii, “Equivalence in $L_p[0,1]$ of the system $e^{i2\pi kx}$$(k=0,\pm1,\dots)$ and the system of the eigenfunctions of an ordinary functional-differential operator”, Mat. Zametki, 49:1 (1991), 47–55; Math. Notes, 49:1 (1991), 34–40
G. V. Radzievskii, “Linear independence, equivalence and minimality of root vectors for some nonlinear spectral problems”, Sibirsk. Mat. Zh., 31:3 (1990), 147–166; Siberian Math. J., 31:3 (1990), 482–498
1988
14.
G. V. Radzievskii, “Completeness of derivative chains of polynomial pencils of
operators of odd order”, Dokl. Akad. Nauk SSSR, 303:6 (1988), 1310–1315; Dokl. Math., 38:3 (1989), 669–674
15.
G. V. Radzievskii, “Asymptotic of singular numbers and eigenvalues of weakly perturbed operators”, Mat. Zametki, 43:5 (1988), 624–634; Math. Notes, 43:5 (1988), 360–366
1987
16.
G. V. Radzievskii, “Linear independence of the root vectors for operator-valued functions that are analytic outside a disk”, Dokl. Akad. Nauk SSSR, 294:2 (1987), 278–282
17.
G. V. Radzievskii, “On the linear independence of the Keldysh derived chains for operator-valued functions analytic in a half-plane”, Mat. Sb. (N.S.), 132(174):4 (1987), 556–577; Math. USSR-Sb., 60:2 (1988), 547–567
1985
18.
G. V. Radzievskii, “Minimality, basis property and completeness of a subset of the root vectors of a quadratic operator pencil”, Dokl. Akad. Nauk SSSR, 283:1 (1985), 53–57
1983
19.
G. V. Radzievskii, “A method of proof of the minimality and the basis property of a part of the root vectors”, Funktsional. Anal. i Prilozhen., 17:1 (1983), 24–30; Funct. Anal. Appl., 17:1 (1983), 18–23
G. V. Radzievskii, “A theorem on the estimation of the resolvent of operator-valued functions”, Mat. Zametki, 32:1 (1982), 59–70; Math. Notes, 32:1 (1982), 508–514
G. V. Radzievskii, “The problem of the completeness of root vectors in the spectral theory of operator-valued functions”, Uspekhi Mat. Nauk, 37:2(224) (1982), 81–145; Russian Math. Surveys, 37:2 (1982), 91–164
G. V. Radzievskii, “Asymptotics of the distribution of the characteristic numbers of operator-valued functions analytic in an angle”, Mat. Sb. (N.S.), 112(154):3(7) (1980), 396–420; Math. USSR-Sb., 40:3 (1981), 363–385
G. V. Radzievskii, “On completeness of the set of root vectors of the operator pencil $L(\lambda)=I-\lambda^{-k}B-\lambda^nA$”, Uspekhi Mat. Nauk, 34:1(205) (1979), 241–242; Russian Math. Surveys, 34:1 (1979), 237–238
G. V. Radzievskii, “Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function $S(\lambda)$ with $S(\infty)=0$”, Mat. Zametki, 21:3 (1977), 391–398; Math. Notes, 21:3 (1977), 218–222
M. B. Orazov, G. V. Radzievskii, “Theorems on completeness and on the property of being a basis for the eigenvectors of a hyperbolic operator-valued function”, Sibirsk. Mat. Zh., 16:3 (1975), 572–587; Siberian Math. J., 16:3 (1975), 440–452
G. V. Radzievskii, “On a method of proving completeness of the root vectors of operator-valued functions”, Dokl. Akad. Nauk SSSR, 214:2 (1974), 291–294
G. V. Radzievskii, “Multiple completeness of eigen and associated vectors of some classes of operator-functions analytic in a disk”, Funktsional. Anal. i Prilozhen., 7:1 (1973), 84–85; Funct. Anal. Appl., 7:1 (1973), 76–77
G. V. Radzievskii, “Multiple completeness of root vectors of a Keldysh pencil perturbed by an operator-valued function analytic in a disc”, Mat. Sb. (N.S.), 91(133):3(7) (1973), 310–335; Math. USSR-Sb., 20:3 (1973), 323–347
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