Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. Factorization versus invertibility of matrix functions on compact abelian groups. (English) Zbl 1279.47029 Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 225-239 (2012). Reviewer: Hu Yong-Jian (Beijing) MSC: 47A56 47A68 PDFBibTeX XMLCite \textit{A. Brudnyi} et al., Oper. Theory: Adv. Appl. 218, 225--239 (2012; Zbl 1279.47029) Full Text: DOI
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Noncanonical factorizations of almost periodic multivariable matrix functions. (English) Zbl 1079.47019 Böttcher, Albrecht (ed.) et al., Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12–15, 2000. Basel: Birkhäuser (ISBN 3-7643-6947-7/hbk). Oper. Theory, Adv. Appl. 142, 311-344 (2003). Reviewer: Maria Amelia Bastos (Lisboa) MSC: 47A56 42A75 26B99 15A54 47A68 47B35 PDFBibTeX XMLCite \textit{L. Rodman} et al., in: Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12--15, 2000. Basel: Birkhäuser. 311--344 (2003; Zbl 1079.47019)
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Contractive extension problems for matrix valued almost periodic functions of several variables. (English) Zbl 1025.42011 J. Oper. Theory 47, No. 1, 3-35 (2002). Reviewer: A.Gheondea (Bucureşti) MSC: 42B99 42A75 47A56 42A82 47B35 15A54 PDFBibTeX XMLCite \textit{L. Rodman} et al., J. Oper. Theory 47, No. 1, 3--35 (2002; Zbl 1025.42011)
Bishop, C. J.; Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. Local spectra and index of singular integral operators with piecewise continuous coefficients on composed curves. (English) Zbl 0982.47024 Math. Nachr. 206, 5-83 (1999). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 47B35 47A53 30E20 47C05 47D60 45E05 16R20 47L10 30C20 47B38 47A11 PDFBibTeX XMLCite \textit{C. J. Bishop} et al., Math. Nachr. 206, 5--83 (1999; Zbl 0982.47024) Full Text: DOI
Karlovich, Yu. I.; Spitkovskij, I. M. The semi-Fredholmness of singular integral operators with matrix semi-almost periodic coefficients. (English. Russian original) Zbl 0963.47034 Dokl. Math. 57, No. 2, 176-178 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 1, 10-12 (1998). Reviewer: D.Przeworska-Rolewicz (Warszawa) MSC: 47G10 47A53 45E05 PDFBibTeX XMLCite \textit{Yu. I. Karlovich} and \textit{I. M. Spitkovskij}, Dokl. Math. 57, No. 2, 10--12 (1998; Zbl 0963.47034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 1, 10--12 (1998)
Karlovich, Yuri I.; Spitkovsky, Ilya M. Semi-Fredholm properties of certain singular integral operators. (English) Zbl 0882.47003 Böttcher, A. (ed.) et al., Singular integral operators and related topics. Joint German-Israeli workshop, Tel Aviv, Israel, March 1–10, 1995. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 90, 264-287 (1996). MSC: 47A53 47G10 45E10 47A56 PDFBibTeX XMLCite \textit{Y. I. Karlovich} and \textit{I. M. Spitkovsky}, in: Singular integral operators and related topics. Joint German-Israeli workshop, Tel Aviv, Israel, March 1--10, 1995. Basel: Birkhäuser. 264--287 (1996; Zbl 0882.47003)
Gohberg, Israel; Krupnik, Naum; Spitkovsky, Ilya Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight. (English) Zbl 0799.47013 Integral Equations Oper. Theory 17, No. 3, 322-337 (1993). MSC: 47B38 47L10 47A53 45F15 47C10 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Integral Equations Oper. Theory 17, No. 3, 322--337 (1993; Zbl 0799.47013) Full Text: DOI
Spitkovskij, I. M.; Tashbaev, A. M. Factorization of certain piecewise constant matrix functions and its applications. (English) Zbl 0771.47007 Math. Nachr. 151, 241-261 (1991). Reviewer: G.P.A.Thijsse (Rotterdam) MSC: 47A56 45E10 PDFBibTeX XMLCite \textit{I. M. Spitkovskij} and \textit{A. M. Tashbaev}, Math. Nachr. 151, 241--261 (1991; Zbl 0771.47007) Full Text: DOI
Spitkovskij, I. M. Factorization of almost-periodic matrix-valued functions. (English. Russian original) Zbl 0711.47013 Math. Notes 45, No. 6, 482-488 (1989); translation from Mat. Zametki 45, No. 6, 74-82 (1989). MSC: 47A56 47A68 PDFBibTeX XMLCite \textit{I. M. Spitkovskij}, Math. Notes 45, No. 6, 482--488 (1989; Zbl 0711.47013); translation from Mat. Zametki 45, No. 6, 74--82 (1989) Full Text: DOI
Spitkovskij, I. M. On factorization of almost periodic matrix-functions. (Russian) Zbl 0691.47021 Mat. Zametki 45, No. 6, 74-82 (1989). Reviewer: A.Pankov MSC: 47A56 47A68 PDFBibTeX XMLCite \textit{I. M. Spitkovskij}, Mat. Zametki 45, No. 6, 74--82 (1989; Zbl 0691.47021)
Spitkovskij, I. M.; Tishin, P. M. Partial indices of triangular matrices of order higher than 2. (English. Russian original) Zbl 0661.15010 Ukr. Math. J. 39, No. 6, 611-615 (1987); translation from Ukr. Mat. Zh. 39, No. 6, 751-756 (1987). MSC: 15A23 15A54 46E40 PDFBibTeX XMLCite \textit{I. M. Spitkovskij} and \textit{P. M. Tishin}, Ukr. Math. J. 39, No. 6, 611--615 (1987; Zbl 0661.15010); translation from Ukr. Mat. Zh. 39, No. 6, 751--756 (1987) Full Text: DOI
Spitkovskij, I. M.; Tishin, P. M. On partial indices of triangular matrices of order \(>2\). (Russian) Zbl 0651.15010 Ukr. Mat. Zh. 39, No. 6, 751-756 (1987). Reviewer: K.Heuvers MSC: 15A23 15A54 46E40 PDFBibTeX XMLCite \textit{I. M. Spitkovskij} and \textit{P. M. Tishin}, Ukr. Mat. Zh. 39, No. 6, 751--756 (1987; Zbl 0651.15010)
Spitkovskij, I. M. On singular integral operators with a piecewise sectorial matrix symbol. (Russian. English summary) Zbl 0612.47037 Soobshch. Akad. Nauk Gruz. SSR 121, 249-252 (1986). Reviewer: K.-H.Förster MSC: 47Gxx 47A53 45E05 47B35 47B38 35J15 PDFBibTeX XMLCite \textit{I. M. Spitkovskij}, Soobshch. Akad. Nauk Gruz. SSR 121, 249--252 (1986; Zbl 0612.47037)
Spitkovskij, I. M. Generalized factorization of matrix-valued functions and the Riemann boundary value problem with infinite partial indices. (English. Russian original) Zbl 0599.30067 Sov. Math., Dokl. 33, 145-149 (1986); translation from Dokl. Akad. Nauk SSSR 286, 559-562 (1986). Reviewer: Z.Binderman MSC: 30E25 45E05 PDFBibTeX XMLCite \textit{I. M. Spitkovskij}, Sov. Math., Dokl. 33, 145--149 (1986; Zbl 0599.30067); translation from Dokl. Akad. Nauk SSSR 286, 559--562 (1986)
Spitkovskij, I. M. Factorization of measurable matrix-valued functions and its relation to the theory of singular integral equations and the vector Riemann boundary-value problem. I. (English. Russian original) Zbl 0549.47005 Differ. Equations 17, 477-485 (1981); translation from Differ. Uravn. 17, 697-709 (1981). Reviewer: V.S.Rabinovič MSC: 47A56 30E25 45E05 47B38 47A68 PDFBibTeX XMLCite \textit{I. M. Spitkovskij}, Differ. Equations 17, 477--485 (1981; Zbl 0549.47005); translation from Differ. Uravn. 17, 697--709 (1981)