Kissin, E.; Turovskii, Yu. V.; Shulman, V. S. On the theory of topological radicals. (English. Russian original) Zbl 1501.46042 J. Math. Sci., New York 263, No. 6, 805-859 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 3, 490-546 (2018). MSC: 46H10 46J45 47A15 46H70 46-02 PDFBibTeX XMLCite \textit{E. Kissin} et al., J. Math. Sci., New York 263, No. 6, 805--859 (2022; Zbl 1501.46042); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 3, 490--546 (2018) Full Text: DOI
Kissin, Edward; Shulman, Victor; Turovskii, Yuri Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras. Amitsur’s theory revisited. (English) Zbl 1508.46013 Order 38, No. 1, 143-201 (2021). MSC: 46B42 06B23 46H10 46L05 PDFBibTeX XMLCite \textit{E. Kissin} et al., Order 38, No. 1, 143--201 (2021; Zbl 1508.46013) Full Text: DOI arXiv
Cao, Peng; Turovskii, Yurii V. Topological radicals. VI: Scattered elements in Banach Jordan and associative algebras. (English) Zbl 1376.46035 Stud. Math. 235, No. 2, 171-208 (2016). Reviewer: Armando R. Villena (Granada) MSC: 46H20 46H15 47A10 22D25 46H70 PDFBibTeX XMLCite \textit{P. Cao} and \textit{Y. V. Turovskii}, Stud. Math. 235, No. 2, 171--208 (2016; Zbl 1376.46035) Full Text: DOI
Shulman, Victor S.; Turovskii, Yurii V. Topological radicals. V: From algebra to spectral theory. (English) Zbl 1321.46050 Todorov, Ivan G. (ed.) et al., Algebraic methods in functional analysis. The Victor Shulman anniversary volume. Basel: Birkhäuser (ISBN 978-3-0348-0501-8/hbk; 978-3-0348-0502-5/ebook). Operator Theory: Advances and Applications 233, 171-280 (2014). MSC: 46H20 46H15 47A10 47L10 22D25 PDFBibTeX XMLCite \textit{V. S. Shulman} and \textit{Y. V. Turovskii}, Oper. Theory: Adv. Appl. 233, 171--280 (2014; Zbl 1321.46050) Full Text: DOI arXiv
Shulman, V. S.; Turovskii, Yu. V. Topological radicals and joint spectral radius. (English. Russian original) Zbl 1319.46038 Funct. Anal. Appl. 46, No. 4, 287-304 (2012); translation from Funkts. Anal. Prilozh. 46, No. 4, 61-82 (2012). Reviewer: Wiesław Tadeusz Żelazko (Warszawa) MSC: 46H10 47A10 46H35 47A15 PDFBibTeX XMLCite \textit{V. S. Shulman} and \textit{Yu. V. Turovskii}, Funct. Anal. Appl. 46, No. 4, 287--304 (2012; Zbl 1319.46038); translation from Funkts. Anal. Prilozh. 46, No. 4, 61--82 (2012) Full Text: DOI arXiv
Kissin, Edward; Shulman, Victor S.; Turovskii, Yurii V. Topological radicals and Frattini theory of Banach Lie algebras. (English) Zbl 1270.46043 Integral Equations Oper. Theory 74, No. 1, 51-121 (2012). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 46H70 46H99 17B65 16N80 PDFBibTeX XMLCite \textit{E. Kissin} et al., Integral Equations Oper. Theory 74, No. 1, 51--121 (2012; Zbl 1270.46043) Full Text: DOI arXiv
Shulman, V. S.; Turovskii, Yu. V. Topological radicals. II: Applications to spectral theory of multiplication operators. (English) Zbl 1253.46053 Curto, Raúl E. (ed.) et al., Elementary operators and their applications. 3rd international workshop, Queen’s University Belfast, Belfast, Northern Ireland, April, 14–17, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0036-5/hbk; 978-3-0348-0037-2/ebook). Operator Theory: Advances and Applications 212, 45-114 (2011). MSC: 46H20 46H15 46H25 47B48 PDFBibTeX XMLCite \textit{V. S. Shulman} and \textit{Yu. V. Turovskii}, Oper. Theory: Adv. Appl. 212, 45--114 (2011; Zbl 1253.46053) Full Text: DOI arXiv
Brešar, Matej; Shulman, Victor S.; Turovskii, Yuri V. On tractability and ideal problem in non-associative operator algebras. (English) Zbl 1203.46032 Integral Equations Oper. Theory 67, No. 2, 279-300 (2010). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 46H70 17B05 17B40 17B60 47B07 47B47 PDFBibTeX XMLCite \textit{M. Brešar} et al., Integral Equations Oper. Theory 67, No. 2, 279--300 (2010; Zbl 1203.46032) Full Text: DOI
Kissin, Edward; Shulman, Victor S.; Turovskii, Yurii V. Banach Lie algebras with Lie subalgebras of finite codimension have Lie ideals. (English) Zbl 1176.47060 J. Lond. Math. Soc., II. Ser. 80, No. 3, 603-626 (2009). MSC: 47L70 47A15 47L10 46H10 PDFBibTeX XMLCite \textit{E. Kissin} et al., J. Lond. Math. Soc., II. Ser. 80, No. 3, 603--626 (2009; Zbl 1176.47060) Full Text: DOI
Brešar, Matej; Turovskii, Yuri V. Polynomially compact derivations on Banach algebras. (English) Zbl 1156.47035 Stud. Math. 190, No. 2, 185-191 (2009). MSC: 47B47 47B48 47B07 46H15 46H20 PDFBibTeX XMLCite \textit{M. Brešar} and \textit{Y. V. Turovskii}, Stud. Math. 190, No. 2, 185--191 (2009; Zbl 1156.47035) Full Text: DOI
Brešar, Matej; Turovskii, Yuri V. Compactness conditions for elementary operators. (English) Zbl 1117.47023 Stud. Math. 178, No. 1, 1-18 (2007). Reviewer: Vladislav Skopin (Lipetsk) MSC: 47B47 47B48 47B07 46H10 PDFBibTeX XMLCite \textit{M. Brešar} and \textit{Y. V. Turovskii}, Stud. Math. 178, No. 1, 1--18 (2007; Zbl 1117.47023) Full Text: DOI
Shulman, Victor S.; Turovskii, Yuri V. Topological radicals. I: Basic properties, tensor products and joint quasinilpotence. (English) Zbl 1090.46038 Jarosz, Krzysztof (ed.) et al., Topological algebras, their applications, and related topics. Proceedings of the conference to celebrate the 70th birthday of Professor Wiesław Żelazko, Bȩdlewo, Poland, May 11–17, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 67, 293-333 (2005). MSC: 46H20 46H15 46B25 46B45 46H40 PDFBibTeX XMLCite \textit{V. S. Shulman} and \textit{Y. V. Turovskii}, Banach Cent. Publ. 67, 293--333 (2005; Zbl 1090.46038) Full Text: arXiv
Shulman, Victor S.; Turovskiĭ, Yuriĭ V. On the Kleinecke–Shirokov Theorem for families of derivations. (English) Zbl 0993.47030 Stud. Math. 149, No. 2, 185-190 (2002). Reviewer: Yang Dachun (Beijing) MSC: 47B47 46H40 PDFBibTeX XMLCite \textit{V. S. Shulman} and \textit{Y. V. Turovskiĭ}, Stud. Math. 149, No. 2, 185--190 (2002; Zbl 0993.47030) Full Text: DOI
Turovskii, Yu. V.; Shulman, V. S. Radicals in Banach algebras and some problems in the theory of radical Banach algebras. (English. Russian original) Zbl 1045.46033 Funct. Anal. Appl. 35, No. 4, 312-314 (2001); translation from Funkts. Anal. Prilozh. 35, No. 4, 88-91 (2001). Reviewer: Mati Abel (Tartu) MSC: 46J45 46H10 PDFBibTeX XMLCite \textit{Yu. V. Turovskii} and \textit{V. S. Shulman}, Funct. Anal. Appl. 35, No. 4, 312--314 (2001; Zbl 1045.46033); translation from Funkts. Anal. Prilozh. 35, No. 4, 88--91 (2001) Full Text: DOI
Turovskij, Yu. V. Rare sets and derivations of Banach algebras. (English) Zbl 0928.46031 Albrecht, Ernst (ed.) et al., Banach algebras ’97. Proceedings of the 13th international conference on Banach algebras, Heinrich Fabri Institute, University of Tübingen, Blaubeuren, Germany, July 20–August 3, 1997. Berlin: Walter de Gruyter. 489-505 (1998). MSC: 46H05 46H40 PDFBibTeX XMLCite \textit{Yu. V. Turovskij}, in: Banach algebras '97. Proceedings of the 13th international conference on Banach algebras, Heinrich Fabri Institute, University of Tübingen, Blaubeuren, Germany, July 20--August 3, 1997. Berlin: Walter de Gruyter. 489--505 (1998; Zbl 0928.46031)
Maksudov, F. G.; Sadikov, N. M.; Turovskij, Yu. V. Epimorphisms and meager sets of a Banach algebra. (English. Russian original) Zbl 0880.46039 Funct. Anal. Appl. 30, No. 1, 58-60 (1996); translation from Funkts. Anal. Prilozh. 30, No. 1, 75-78 (1996). MSC: 46H20 46H05 PDFBibTeX XMLCite \textit{F. G. Maksudov} et al., Funct. Anal. Appl. 30, No. 1, 58--60 (1996; Zbl 0880.46039); translation from Funkts. Anal. Prilozh. 30, No. 1, 75--78 (1996) Full Text: DOI
Turovskij, Yu. V. Commutativity with respect to the modulus of the Jacobson radical of the universal enveloping for a Lie algebra. (Russian) Zbl 0825.17004 Spektr. Teor. Oper. Prilozh. 8, 199-211 (1987). MSC: 17B60 16S30 17B30 46H70 PDFBibTeX XMLCite \textit{Yu. V. Turovskij}, Spektr. Teor. Oper. Prilozh. 8, 199--211 (1987; Zbl 0825.17004)
Turovskij, Yu. V.; Shul’man, V. S. Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators. (English. Russian original) Zbl 0638.46034 Math. Notes 42, No. 1-2, 669-674 (1987); translation from Mat. Zametki 42, No. 2, 305-314 (1987). Reviewer: A.Torgašev MSC: 46H05 47B47 PDFBibTeX XMLCite \textit{Yu. V. Turovskij} and \textit{V. S. Shul'man}, Math. Notes 42, No. 1--2, 669--674 (1987; Zbl 0638.46034); translation from Mat. Zametki 42, No. 2, 305--314 (1987) Full Text: DOI
Turovskij, Yu. V. On homomorphisms and derivations of rings and algebras. (Russian) Zbl 0756.46022 Spektr. Teor. Oper. Prilozh. 7, 201-217 (1986). MSC: 46H05 47B47 46L40 47A15 PDFBibTeX XMLCite \textit{Yu. V. Turovskij}, Spektr. Teor. Oper. Prilozh. 7, 201--217 (1986; Zbl 0756.46022)
Turovskij, Yu. V. On spectral properties of some Lie subalgebras and the spectral radius of subsets of a Banach algebra. (Russian) Zbl 0633.46052 Spektr. Teor. Oper. Prilozh. 6, 144-181 (1985). Reviewer: W.Żelazko MSC: 46H30 46L70 47A10 47A25 46H10 17B60 PDFBibTeX XMLCite \textit{Yu. V. Turovskij}, Spektr. Teor. Oper. Prilozh. 6, 144--181 (1985; Zbl 0633.46052)
Turovskij, Yu. V. A property of the mapping of the Harte spectrum by polynomials for n- commutative families of elements of a Banach algebra. (Russian) Zbl 0626.47005 Spektr. Teor. Oper. 5, 152-177 (1984). Reviewer: J.Appell MSC: 47A10 46H30 47A60 PDFBibTeX XML
Turovskij, Yu. V. Spectral properties of elements of normed algebras and invariant subspaces. (English. Russian original) Zbl 0569.47005 Funct. Anal. Appl. 18, 152-154 (1984); translation from Funkts. Anal. Prilozh. 18, No. 2, 77-78 (1984). Reviewer: M.Abel MSC: 47A15 46H05 PDFBibTeX XMLCite \textit{Yu. V. Turovskij}, Funct. Anal. Appl. 18, 152--154 (1984; Zbl 0569.47005); translation from Funkts. Anal. Prilozh. 18, No. 2, 77--78 (1984) Full Text: DOI