Oleg Reinov
Email: oleg@sms.edu.pk
Course: Analysis
Publications (Reviews from MathSciNet)
[1] O. I. Reinov, "Excursus to the approximation theory of operators in operator ideals," in Problems of contemporary approximation theory, St. Petersburg, SPb GU 2004, 231-293.
[2] O. I. Reinov, "How bad can a Banach
space with approximation property be? II. Function theory and applications",
J. Math. Sci. (New York) 112 (2002), no. 1, 4065--4072.
[3] O. I. Reinov, "Approximation properties and some classes of
operators. Function theory and mathematical analysis", J. Math.
Sci. (New York) 107 (2001), no. 3, 3911--3951.
[4] Sten Kaijser, Oleg Reinov, "On $\alpha$-nuclearity and total
accessibility for some tensor norms $\alpha$", Acta Comment. Univ.
Tartu. Math. No. 5 (2001), 59--64.
[5] O. I. Reinov, "Geometric properties of universally measurable
mappings. Function theory and partial differential equations",
J. Math. Sci. (New York) 105 (2001), no. 5, 2436--2447.
[6] O. I. Reinov, "On linear operators with $p$-nuclear adjoints",
Vestnik St. Petersburg Univ. Math. 33 (2000), no. 4, 19--21 (2001).
[7] O. I. Reinov, "On factorization of operators via the spaces
$l\sp p$", Vestnik St. Petersburg Univ. Math. 33 (2000), no. 2,
20--23 (2001).
[8] O. I. Reinov, "On the tensor products of operators in Lebesgue
spaces. Function theory and applications", J. Math. Sci. (New
York) 102 (2000), no. 5, 4487--4507.
[9] O. I. Reinov, "Approximation properties ${\rm AP}\sb s$ and
$p$-nuclear operators (the case $0<s\leq 1$)", (Russian) Zap.
Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 270 (2000), Issled.
po Linein. Oper. i Teor. Funkts. 28, 277--291, 368--369; translation in J. Math.
Sci. (N. Y.) 115 (2003), no. 2, 2243--2250.
[10] O. I. Reinov, "On the continuity of scales of some operator
ideals. Nonlinear equations and mathematical analysis", J. Math.
Sci. (New York) 101 (2000), no. 2, 3009--3024.
[11] A. N. Podkorytov, O. I. Reinov, "On the Khinchin-Kahane inequality",
(Russian) Algebra i Analiz 10 (1998), no. 1, 265--270; translation in St. Petersburg
Math. J. 10 (1999), no. 1, 211--215.
[12] Oleg Reinov, "On non-nuclear operators with nuclear adjoints",
Problems of pure and applied mathematics (Tallinn, 1995). Proc. Estonian Acad.
Sci. Phys. Math. 45 (1996), no. 2-3, 226--233.
[13] O. I. Reinov, "On the approximation of operators in the topology
of pointwise convergence", (Russian) Vestnik S.-Peterburg. Univ.
Mat. Mekh. Astronom. 1993, , vyp. 3, 33--35, 149 (1994); translation in Vestnik
St. Petersburg Univ. Math. 26 (1993), no. 3, 39--43.
[14] Oleg Reinov, "Sur les opérateurs $p$-nucléaires
entre espaces de Banach avec bases", (French) [On $p$-nuclear
operators in Banach spaces with bases] C. R. Acad. Sci. Paris Sér. I
Math. 316 (1993), no. 9, 905--907.
[15] Eve Oya, O. Reinov, "A counterexample to A. Grothendieck",
(Russian) Eesti NSV Tead. Akad. Toimetised Füüs.-Mat. 37 (1988), no.
1, 14--17, 121.
[16] O. I. Reinov, "Banach spaces without a local basis structure",
(Russian) Mat. Zametki 43 (1988), no. 2, 220--228, 301; translation in Math.
Notes 43 (1988), no. 1-2, 124--129.
[17] Eve Oja, Oleg Reinov, "Un contre-exemple à une affirmation
de A. Grothendieck", (French) [A counterexample to an affirmation
of A. Grothendieck] C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no.
4, 121--122.
[18] Jean Bourgain, Oleg Reinov, "On the approximation properties
for the space $H\sp \infty$", Math. Nachr. 122 (1985), 19--27.
[19] O. I. Reinov, "Approximation of operators in Banach space",
(Russian) Application of functional analysis in approximation theory, 128--142,
156, Kalinin. Gos. Univ., Kalinin, 1985.
[20] Oleg Reinov, "A survey of some results in connection with
Grothendieck approximation property", Math. Nachr. 119 (1984),
257--264.
[21] O. I. Reinov, "Functions of the first
Baire class with values in metric spaces, and some of their applications",
(Russian) Investigations on linear operators and the theory of functions, XIII.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 135 (1984), 135--149.
[22] O. I. Reinov, "Disappearance of tensor elements in the scale
of $p$-nuclear operators", (Russian) Operator theory and function
theory, No. 1, 145--165, Leningrad. Univ., Leningrad, 1983.
[23] O. I. Reinov, "How bad can a Banach space with the approximation
property be?", (Russian) Mat. Zametki 33 (1983), no. 6, 833--846.
[24] Oleg. I. Reinov, "Un contre-exemple à une conjecture
de A. Grothendieck", (French) [A counterexample to a conjecture
of A. Grothendieck] C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no.
14, 597--599.
[25] O. I. Reinov, "Simple proof of two theorems of A. Grothendieck",
(Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 115--116.
[26] O. I. Reinov, "Banach spaces without the approximation property",
(Russian) Funktsional. Anal. i Prilozhen. 16 (1982), no. 4, 84--85.
[27] O. Reinov, "Approximation properties of order $p$ and the
existence of non-$p$-nuclear operators with $p$-nuclear second adjoints",
Math. Nachr. 109 (1982), 125--134.
[28] O. I. Reinov, "Some remarks on the properties of Radon-Nikod\'ym
operators with applications to a problem of M. Talagrand", (Russian)
Sibirsk. Mat. Zh. 22 (1981), no. 1, 120--128, 229.
[29] O. I. Reinov, "Properties of $p$-order approximation and the existence
of non-$p$-nuclear operators with $p$-nuclear second conjugate operators",
(Russian) Dokl. Akad. Nauk SSSR 256 (1981), no. 1, 43--47.
[30] O. I. Reinov, "Conditionally weakly compact and $({\rm RN})\sp{D}$-operators",
(Russian) Funktsional. Anal. i Prilozhen. 14 (1980), no. 1, 83--84.
[31] O. I. Reinov, "Two problems in the theory of linear operators.
II", (Russian) Application of functional analysis to approximation
theory (Russian), pp. 107--119, 159--160, Kalinin. Gos. Univ., Kalinin, 1980.
[32] O. I. Reinov, "Integral representations of linear operators
acting from the space $L\sp{1}(\Omega ,\,\Sigma ,\,µ)$",
(Russian) Mat. Zametki 27 (1980), no. 2, 283--290, 319.
[33] O. I. Reinov, "On some Banach ideals of operators",
Studia Math. 69 (1980/81), no. 2, 123--131.
[34] O. I. Reinov, "Examples of nonnuclear operators that are simultaneously
integral and quasinuclear", (Russian) Vestnik Leningrad. Univ.
Mat. Mekh. Astronom. 1980, vyp. 2, 120--122, 126.
[35] O. I. Reinov, "Some vector-lattice characteristics of operators
of type RN", (Russian) Mat. Zametki 27 (1980), no. 4, 607--620,
670.
[36] O. I. Reinov, "Two problems in the theory of linear operators",
(Russian) Application of functional analysis in approximation theory (Russian),
pp. 102--114, 161--162, Kalinin. Gos. Univ., Kalinin, 1979.
[37] E. D. Gluskin, S. V. Kisljakov, O. I. Reinov, "Tensor products
of $p$-absolutely summing operators and right $(I\sb{p},\,N\sb{p})$-multipliers",
(Russian) Investigations on linear operators and the theory of functions, IX.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 92 (1979), 85--102,
319--320.
[38] O. I. Reinov, "A class of universally measurable mappings",
(Russian) Mat. Zametki 26 (1979), no. 6, 949--955, 974.
[39] O. I. Reinov, "On hereditarily dentable sets in Banach spaces",
(Russian) Investigations on linear operators and the theory of functions, IX.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 92 (1979), 294--299,
326--327.
[40] O. I. Reinov, "RN-sets in Banach spaces", (Russian)
Funktsional. Anal. i Prilozhen. 12 (1978), no. 1, 80--81, 96.
[41] O. I. Reinov, "Purely topological characteristics of operators
of RN type", (Russian) Funktsional. Anal. i Prilozhen. 12 (1978),
no. 4, 89--90.
[42] O. I. Reinov, "Operators of RN type in Banach spaces",
(Russian) Sibirsk. Mat. Zh. 19 (1978), no. 4, 857--865, 955.
[43] O. I. Reinov, "Some classes of continuous linear mappings",
(Russian) Mat. Zametki 23 (1978), no. 2, 285--296.
[44] O. I. Reinov, "Some classes of sets in Banach spaces and the
topological characterization of operators of type RN", (Russian)
Investigations on linear operators and the theory of functions, VIII. Zap. Nauchn.
Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 73 (1977), 224--228, 237 (1978).
[45] O. I. Reinov, "Operators of RN type and analytic representations
of linear operators", (Russian) Operator theory in function spaces
(Proc. School, Novosibirsk, 1975) (Russian), pp. 283--295, 343. Izdat. "Nauka"
Sibirsk. Otdel., Novosibirsk, 1977.
[46] O. I. Reinov, "Geometric characterization of RN-operators",
(Russian) Mat. Zametki 22 (1977), no. 2, 189--202.
[47] O. I. Reinov, "The Radon-Nikod\'ym property, and integral
representations of linear operators", (Russian) Funkcional. Anal.
i Prilo\v zen. 9 (1975), no. 4, 87--88.
[48] O. I. Reinov, "RN type operators in Banach spaces",
(Russian) Dokl. Akad. Nauk SSSR 220 (1975), 528--531.