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个人简介

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1991 (department of theory of functions and functional analysis). Ph.D. thesis 1995.

近期论文

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O. Yu. Aristov, “Length functions exponentially distorted on subgroups of complex Lie groups”, European Journal of Mathematics, 9 (2023), 60 (Published online) , arXiv: 2208.12667 crossref mathscinet isi O. Yu. Aristov, “The structure of the linearizer of a connected complex Lie group”, Siberian Math. J., 64:2 (2023), 287–290 , arXiv: 2203.04145 mathnet crossref crossref O. Yu. Aristov, “Banach space representations of Drinfeld–Jimbo algebras and their complex-analytic forms”, Illinois J. Math., 67:2 (2023), 363-382 , arXiv: 2012.12565 crossref mathscinet isi O. Yu. Aristov, “Topological properties of Arens-Michael envelopes of semigroup algebras”, in Russian, XVI Kazan International Summer School–Conference “Function theory, its applications and related topics” (Kazan, 2023), Proceedings of the Lobachevsky Mathematical Center, 66, KFU, 2023, 27–29 https://kpfu.ru/portal/docs/F_1160820648/Trudy_Matematicheskogo_centra_imeni_N_I_Lobachevskogo_T_66_v_23_08.pdf O. Yu. Aristov, “Sheaves of Noncommutative Smooth and Holomorphic Functions Associated with the Non-Abelian Two-Dimensional Lie Algebra”, Math. Notes, 112:1 (2022), 17–25 mathnet crossref crossref mathscinet scopus O. Yu. Aristov, “Functions of class $C^\infty$ in non-commuting variables in the context of triangular Lie algebras”, Izv. Math., 86:6 (2022), 1033–1071 mathnet crossref crossref mathscinet isi scopus O. Yu. Aristov, “Holomorphic Reflexivity for Locally Finite and Profinite Groups: The Abelian and General Cases”, Math. Notes, 112:3 (2022), 339–348 mathnet crossref crossref mathscinet scopus O. Yu. Aristov, “When a completion of the universal enveloping algebra is a Banach PI-algebra?”, Bull. Aust. Math. Soc, 107:3 (2022), 493–501 , arXiv: 2204.07393 crossref mathscinet isi O. Yu. Aristov, “An analytic criterion for the local finiteness of a countable semigroup”, Siberian Math. J., 63:3 (2022), 421-424 , arXiv: 2104.03230 mathnet crossref crossref isi scopus O. Yu. Aristov, “The Relation “Commutator Equals Function” in Banach Algebras”, Math. Notes, 109:3 (2021), 323–334 mathnet crossref crossref mathscinet zmath isi elib scopus (cited: 1) O. Yu .Aristov, A. Yu. Pirkovskii, “Corrigendum to “Open embeddings and pseudoflat epimorphisms” [J. Math. Anal. Appl. 485 (2020) 123817]”, J. Math. Anal. Appl., 2021, 125204 crossref zmath isi scopus O. Yu. Aristov, “On holomorphic reflexivity conditions for complex Lie groups”, Proc. Edinburgh Math. Soc. (2), 64:4 (2021), 800–821 , arXiv: 2002.03617 mathnet crossref mathscinet isi scopus O. Yu. Aristov, A. Yu. Pirkovskii, “Open embeddings and pseudoflat epimorphisms”, J. Math. Anal. Appl., 485 (2020), 123817 , arXiv: 1908.02117 crossref mathscinet zmath isi (cited: 1) scopus (cited: 2) O. Yu. Aristov, N. V. Volosova, “Interpolation of protoquantum spaces”, Funct Anal Its Appl, 54 (2020), 141–144 https://doi.org/10.1134/S0016266320020070 mathnet crossref mathscinet zmath isi O. Yu. Aristov, “Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type and homological epimorphisms”, Trans. Moscow Math. Soc., 81:1 (2020), 97–114 , arXiv: arXiv: 1810.13213 mathnet crossref mathscinet zmath elib scopus O. Yu. Aristov, “Holomorphic functions of exponential type on connected complex Lie groups”, J. Lie Theory, 29:4 (2019), 1045–1070 1903.08080 mathscinet zmath isi O. Yu. Aristov, “Topological radical of a Banach module”, Studia Math., 234:2 (2016), 149–164 crossref mathscinet zmath isi elib scopus Oleg Yu. Aristov, Volker Runde, Nico Spronk, Zsolt Tanko,, “Corrigendum to: “Operator biflatness of the Fourier algebra and approximate indicators for subgroups” [J. Funct. Anal. 209 (2) (2004) 367–387]”, Journal of Functional Analysis, 270:6 (2016), 2381–2382 crossref mathscinet zmath isi (cited: 1) scopus (cited: 2) O. Yu. Aristov, “Structure of biprojective Banach algebras with non-trivial radical”, Izv. Math., 72:6 (2008), 1111–1140 mathnet crossref crossref mathscinet zmath adsnasa adsnasa isi elib elib scopus O. Yu. Aristov, “Projective covers of finitely generated Banach modules and the structure of some Banach algebras”, Extracta Math., 21:1 (2006), 1–26 mathscinet zmath O. Yu. Aristov, “Fourier algebras of certain connected groups are not projective”, Russian Math. Surveys, 60:1 (2005), 154–156 mathnet crossref crossref mathscinet zmath adsnasa adsnasa isi (cited: 2) elib elib scopus (cited: 1) O. Yu. Aristov, “On approximation of flat Banach modules by free modules”, Sb. Math., 196:11 (2005), 1553–1583 mathnet crossref crossref mathscinet zmath isi (cited: 4) elib elib scopus (cited: 5) O. Yu. Aristov, “Amenability and compact type for Hopf-von Neumann algebras from the homological point of view”, Banach Algebras and Their Applications, Contemp. Math., 363, eds. A. T.-M. Lau and V. Runde,, 2004, 15–38 crossref mathscinet zmath O. Yu. Aristov, V. Runde, N. Spronk, “Operator biflatness of the Fourier algebra and approximate indicators for subgroups”, Journal of Functional Analysis, 209:2 (2004), 367–387 https://doi.org/10.1016/S0022-1236(03)00169-1 crossref mathscinet zmath scopus (cited: 19) O. Yu. Aristov, “Biprojective algebras and operator spaces”, Journal of Mathematical Sciences, 2002, 111, no. 2, 3369–3684 crossref zmath O. Yu. Aristov, “On tensor products of strict $C^*$-algebras”, Fundam. Prikl. Mat., 6:4 (2000), 977–984 mathnet mathscinet zmath O. Yu. Aristov, “Homological dimensions of C*-algebras”, Topological Homology. Helemskii Moscow Seminar, eds. A.Ya. Helemskii, Nova Science Publishers, Huntington, N.Y., 2000, 39–56 mathscinet zmath O. Yu. Aristov, “On the definition of a flat operator module”, Topological Homology. Helemskii Moscow Seminar, eds. A.Ya. Helemskii, Nova Science Publishers, Huntington, N.Y., 2000, 29–38 mathscinet zmath O. Yu. Aristov, “On the homotopy equivalence of simple AI-algebras”, Sb. Math., 190:2 (1999), 165–191 mathnet crossref crossref mathscinet zmath isi (cited: 1) scopus O. Yu. Aristov, “Representation of Schatten classes by operator algebras with the best homological properties”, in Russian, Function Theory, Applications and Adjacent questions, Kazan Math. Soc., Kazan, 1999, 21–24 O. Yu. Aristov, “The global dimension theorem for non-unital and certain other separable $C^*$-algebras”, Sb. Math., 186:9 (1995), 1223–1239 mathnet crossref mathscinet zmath isi (cited: 4) scopus (cited: 5) O. Yu. Aristov, On certain homological and structural characteristics of operator algebras, Ph.D. thesis (in Russian), Moscow State University, Moscow, 1995 O. Yu. Aristov, “Characterization of strict C*-algebras”, Studia Math., 112:1 (1994), 51–58 DOI: 10.4064/sm-112-1-51-58 crossref mathscinet zmath O. Yu. Aristov, “Nonvanishing of the secondary cohomologies of certain weakly amenable Banach algebras.”, Mosc. Univ. Math. Bull., 48:4 (1993), 46–48 mathnet mathscinet zmath

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