Gil’, Michael Solution estimates for the discrete Lyapunov equation in a Hilbert space and applications to difference equations. (English) Zbl 1437.47006 Axioms 8, No. 1, Paper No. 20, 22 p. (2019). MSC: 47A62 47A30 39A30 34D09 PDFBibTeX XMLCite \textit{M. Gil'}, Axioms 8, No. 1, Paper No. 20, 22 p. (2019; Zbl 1437.47006) Full Text: DOI
Gil’, Michael Kronecker’s products and Kronecker’s sums of operators. (English) Zbl 1440.47017 Pardalos, Panos M. (ed.) et al., Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Cham: Springer. 205-253 (2016). MSC: 47A80 47A10 47A30 47A55 47A56 47B02 47F05 47G20 15A69 47-02 PDFBibTeX XMLCite \textit{M. Gil'}, in: Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Cham: Springer. 205--253 (2016; Zbl 1440.47017) Full Text: DOI
Gil’, Michael Resolvents of operators on tensor products of Euclidean spaces. (English) Zbl 1345.15005 Linear Multilinear Algebra 64, No. 4, 699-716 (2016). Reviewer: Hans Havlicek (Wien) MSC: 15A69 15A18 15A24 15A45 34D20 15A60 PDFBibTeX XMLCite \textit{M. Gil'}, Linear Multilinear Algebra 64, No. 4, 699--716 (2016; Zbl 1345.15005) Full Text: DOI
Gil’, Michael On condition numbers of spectral operators in a Hilbert space. (English) Zbl 1330.47042 Anal. Math. Phys. 5, No. 4, 363-372 (2015). MSC: 47B40 47E05 47A30 47A55 47A56 PDFBibTeX XMLCite \textit{M. Gil'}, Anal. Math. Phys. 5, No. 4, 363--372 (2015; Zbl 1330.47042) Full Text: DOI
Gil’, Michael A norm estimate for holomorphic operator functions in an ordered Banach space. (English) Zbl 1340.47032 Acta Sci. Math. 80, No. 1-2, 141-148 (2014). Reviewer: Constantin Niculescu (Craiova) MSC: 47A63 46B42 47A60 47G10 35A23 PDFBibTeX XMLCite \textit{M. Gil'}, Acta Sci. Math. 80, No. 1--2, 141--148 (2014; Zbl 1340.47032) Full Text: DOI
Gil, Michael Estimates for functions of finite and infinite matrices. Perturbations of matrix functions. (English) Zbl 1524.47018 Int. J. Math. Game Theory Algebra 21(2012), No. 4-5, 327-392 (2013). MSC: 47A56 47A30 47A55 34B27 PDFBibTeX XMLCite \textit{M. Gil}, Int. J. Math. Game Theory Algebra 21, No. 4--5, 327--392 (2013; Zbl 1524.47018)
Gil’, Michael Bounds and positivity conditions for operator valued functions in a Hilbert lattice. (English) Zbl 1292.47008 Positivity 17, No. 3, 407-414 (2013). Reviewer: Şafak Alpay (Ankara) MSC: 47A56 46B42 47A60 47G10 35A23 PDFBibTeX XMLCite \textit{M. Gil'}, Positivity 17, No. 3, 407--414 (2013; Zbl 1292.47008) Full Text: DOI
Gil’, Michael Matrix functions nonregular on the convex hull of the spectrum. (English) Zbl 1258.15006 Linear Multilinear Algebra 60, No. 4, 465-473 (2012). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A45 15A60 15A18 15A54 34B05 34C25 PDFBibTeX XMLCite \textit{M. Gil'}, Linear Multilinear Algebra 60, No. 4, 465--473 (2012; Zbl 1258.15006) Full Text: DOI
Gil, Michael Norm estimates for functions of two non-commuting matrices. (English) Zbl 1223.15030 Electron. J. Linear Algebra 22, 504-512 (2011). MSC: 15A54 15A45 15A60 15A24 34A30 PDFBibTeX XMLCite \textit{M. Gil}, Electron. J. Linear Algebra 22, 504--512 (2011; Zbl 1223.15030) Full Text: DOI EuDML EMIS
Gil’, Michael I. Norm estimates for functions of matrices with simple spectrum. (English) Zbl 1205.15038 Rend. Circ. Mat. Palermo (2) 59, No. 2, 215-226 (2010). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A54 15A45 34K10 34K13 PDFBibTeX XMLCite \textit{M. I. Gil'}, Rend. Circ. Mat. Palermo (2) 59, No. 2, 215--226 (2010; Zbl 1205.15038) Full Text: DOI
Gil’, M. I. Meromorphic functions of matrix arguments and applications. (English) Zbl 1184.15019 Appl. Anal. 88, No. 12, 1727-1738 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A54 15A45 15A60 34B05 34C25 PDFBibTeX XMLCite \textit{M. I. Gil'}, Appl. Anal. 88, No. 12, 1727--1738 (2009; Zbl 1184.15019) Full Text: DOI
Gil, M. I. Estimates for norms of resolvents of operators on tensor products of Hilbert spaces. (English) Zbl 1082.47006 Period. Math. Hung. 49, No. 1, 27-41 (2004). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 47A30 47A55 47A10 46B28 47G20 47A80 PDFBibTeX XMLCite \textit{M. I. Gil}, Period. Math. Hung. 49, No. 1, 27--41 (2004; Zbl 1082.47006) Full Text: DOI
Gil’, Michael I. Operator functions and localization of spectra. (English) Zbl 1032.47001 Lecture Notes in Mathematics. 1830. Berlin: Springer. xiv, 256 p. (2003). Reviewer: Leonid Golinskii (Kharkov) MSC: 47-02 47A10 47A55 47A56 47E05 30C15 45P05 15A42 PDFBibTeX XMLCite \textit{M. I. Gil'}, Operator functions and localization of spectra. Berlin: Springer (2003; Zbl 1032.47001) Full Text: DOI
Gil’, M. I. Invertibility and positive invertibility of integral operators in \(L^\infty\). (English) Zbl 0987.47040 J. Integral Equations Appl. 13, No. 1, 1-14 (2001). Reviewer: D.Przeworska-Rolewicz (Warszawa) MSC: 47G10 47A30 45P05 47B38 47G20 PDFBibTeX XMLCite \textit{M. I. Gil'}, J. Integral Equations Appl. 13, No. 1, 1--14 (2001; Zbl 0987.47040) Full Text: DOI Link
Gil’, Michael I. Norm estimations for operator-valued functions and applications. (English) Zbl 0840.47006 Pure and Applied Mathematics, Marcel Dekker. 192. New York: Marcel Dekker, Inc. viii, 355 p. (1995). Reviewer: A.L.Andrew (Bundoora) MSC: 47A56 47-02 47E05 47F05 47G20 47A10 47A30 46-02 PDFBibTeX XMLCite \textit{M. I. Gil'}, Norm estimations for operator-valued functions and applications. New York: Marcel Dekker, Inc. (1995; Zbl 0840.47006)
Gil’, Michael I. Estimates for norms of matrix-valued and operator-valued functions and some of their applications. (English) Zbl 0805.47009 Acta Appl. Math. 32, No. 1, 59-88 (1993). MSC: 47A56 47A55 47A30 15A54 35A30 34A30 PDFBibTeX XMLCite \textit{M. I. Gil'}, Acta Appl. Math. 32, No. 1, 59--88 (1993; Zbl 0805.47009) Full Text: DOI
Gil’, Michael I. Estimate for norm of solutions of nonautonomous equations in Hilbert space. (English) Zbl 0766.34034 Math. Balk., New Ser. 5, No. 4, 341-349 (1991). Reviewer: G.Derfel (Beer-Sheva) MSC: 34G10 47A50 35K30 45K05 PDFBibTeX XMLCite \textit{M. I. Gil'}, Math. Balk., New Ser. 5, No. 4, 341--349 (1991; Zbl 0766.34034)
Gil’, M. I. Estimates of solutions of systems of nonlinear diffusion equations. (English. Russian original) Zbl 0715.34132 Differ. Equations 25, No. 12, 1472-1480 (1989); translation from Differ. Uravn. 25, No. 12, 2082-2090 (1989). MSC: 34K30 47A50 PDFBibTeX XMLCite \textit{M. I. Gil'}, Differ. Equations 25, No. 12, 1472--1480 (1989; Zbl 0715.34132); translation from Differ. Uravn. 25, No. 12, 2082--2090 (1989)
Gil’, M. I. Estimates of solutions of systems of nonlinear diffusion equations. (Russian) Zbl 0695.34077 Differ. Uravn. 25, No. 12, 2082-2090 (1989). Reviewer: M.Švec MSC: 34K30 47A50 PDFBibTeX XMLCite \textit{M. I. Gil'}, Differ. Uravn. 25, No. 12, 2082--2090 (1989; Zbl 0695.34077)
Gil’, M. I. Operator functions, differential equations and system dynamics. (Operatornye funktsii, differentsial’nye uravneniya i dinamika sistem). (Russian) Zbl 0581.47032 Moskva: “Nauka”. 152 p. R. 1.00 (1984). Reviewer: L.A.Sakhnovich MSC: 47E05 47A30 47-02 47H20 47A60 PDFBibTeX XML