→ Head of the Department of Theory of Functional Analysis and Functions, Samara National Research University
→ Professor of the Department of Mathematics, Bahcesehir University (Turkey)
E-mail:
Website:
Education:
→ 1973-1978 – Kuibyshev (Samara) State University;
→ 1979-1981 – graduate school of the Department of Theory of Functions and Geometry, Voronezh State University, advisor Prof. E.M. Semenov;
→ 1982 – PhD Thesis "The interpolation theory and operators in symmetric spaces" (VSU).
→ 1999 – Dr. Sci. Thesis "Interpolation of operators and its applications" (IMM UB RAS).
Research Interests:
→ Geometry of Banach spaces, interpolation and extrapolation theory of operators, Rademacher, Haar, and Walsh systems, martingals, independent functions, lacunary series.
Awards (main):
→ Laureate of the Provincial Prize in the held of science and technology (2018, 2012).
→ Awarded by the title "Federal Professor" by the Ministry of Education and Science of the Russian Federation (2016).
→ Awarded by the Department of Education of the Samara Region (2016, 2014).
Publications (recent):
2023
→ S. V. Astashkin, "On subspaces of an Orlicz space spanned by independent identically distributed functions", Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023), 65–68, DOI.
→ S. V. Astashkin, "On Various Notions of Representability of \(l_r\)-Spaces in Orlicz Function Spaces", Math. Notes, 114:3 (2023), 403–406, DOI.
→ S.V. Astashkin, "Spectral Properties of the Dilation Operator in Rearrangement Invariant Spaces of Fundamental Type", Siberian Mathematical Journal, 64:1 (2023), 1–12, DOI.
→ S.V. Astashkin, "On Lattice Properties of the Lorentz Spaces \(L_{p,q}\)", Math. Notes, 113:1 (2023), 10–17, DOI.
→ S. Astashkin, P.G. Nilsson, "A description of interpolation spaces for quasi-Banach couples by real K-method", Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117:35 (2023), DOI.
→ S.V. Astashkin, "The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\)", Mathematische Zeitschrift, 303:4 (2023), 91, DOI.
→ S.V. Astashkin, P.G. Nilsson, M. Cwikel, "Arazy–Cwikel and Calderón–Mityagin type properties of the couples \( (\ell ^{p}, \ell ^{q}), 0 \le p < q \le \infty \)", Annali di Matematica Pura ed Applicata, 202:4 (2023), 1643–1678, DOI.
2022
→ S.V. Astashkin, M. Cwikel, P.G. Nilsson, "Arazy–Cwikel and Calderón–Mityagin type properties of the couples \((\ell_p,\ell_q), 0 \le p < q \le \infty\)", Annali di Matematica (2022), DOI.
→ S. Astashkin, J. Huang, M. Pliev, F. Sukochev, D. Zanin, "Optimal Range of Haar Martingale Transforms and Its Applications", International Mathematics Research Notices, rnac273, 2022, DOI.
→ S.V. Astashkin, P.G. Nilsson, "Arazy-Cwikel property for quasi-Banach couples", Positivity, 26, 4:72 (2022), DOI.
→ S.V. Astashkin, P.A. Terekhin, "Sequences of dilations and translations equivalent to the Haar system in \(L_p\)-spaces", J. Approx. Theory, 274 (2022), 105672, DOI.
→ S.V. Astashkin, "Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\)", Math. Ann., 383:2 (2022), DOI.
→ S.V. Astashkin, "A characterization of \(\ell^p\)-spaces symmetrically finitely represented in symmetric sequence spaces", Banach J. Math. Anal., 16, 30:2 (2022), DOI.
→ S.V. Astashkin, F. Sukochev, D. Zanin, "The distribution of a random variable whose independent copies span \(\ell_M\) is unique", Rev. Mat. Complut., 35:3 (2022), 815–834, DOI.
→ S.V. Astashkin, P.A. Terekhin, "On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions", Proc. Steklov Inst. Math., 319 (2022), 13–21, DOI.
→ S.V. Astashkin, G.P. Curbera, "Rosenthals space revisited", Studia Mathematica, 262:2 (2022), 197–224, DOI.
→ S.V. Astashkin, D.N. Galich, "Estimating the measure of \(k\)-fold intersections of \(k\)-fold stretched intervals", Izv. Vyssh. Uchebn. Zaved. Mat., 10 (2022), 79–85, DOI.
→ S. V. Astashkin, "Binary Orlicz spaces", Dokl. Math., 106:2 (2022), 315–317, DOI.
2021
→ S. Astashkin, J. Huang, F. Sukochev, "Lack of isomorphic embeddings of symmetric function spaces into operator ideals", J. Funct. Anal., 280:5 (2021), 108895, DOI.
→ S. Astashkin, "Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions", Positivity, 25 (2021), 159–175, DOI.
→ S. Astashkin, "Sequences of independent functions in rearrangement invariant spaces", Siberian Math. J., 62:2 (2021), 189–198, DOI.
→ S. Astashkin, M. Milman, "Extrapolation Stories and Problems", Pure and Appl. Funct. Anal. 6:3 (2021), 651–707, arXiv.
→ S.V. Astashkin, K.V. Lykov, "Extrapolation description of limiting interpolation \(J\)-spaces", Pure and Appl. Funct. Anal., 6:3 (2021), 511–529.
→ S. Astashkin, "Disjointly homogeneous Orlicz spaces revisited", Annali di Matematica Pura ed Applicata, 200 (2021), 2689–2713. DOI.
→ S.V. Astashkin, E.M. Semenov, "Orthogonality in nonseparable rearrangement-invariant spaces", Sb. Math., 212:11 (2021), 1553–1570, DOI.