Kudryk, Taras; Lyantse, Wladyslav; Neves, Vitor Nonstandard universe based on internal set theory. (English) Zbl 1091.03033 Kadets, Vladimir (ed.) et al., Functional analysis and its applications. Proceedings of the international conference, dedicated to the 110th anniversary of Stefan Banach, Lviv National University, Lviv, Ukraine, May 28–31, 2002. Amsterdam: Elsevier (ISBN 0-444-51373-6/hbk). North-Holland Mathematics Studies 197, 155-166 (2004). MSC: 03H05 03H15 46S20 54J05 PDFBibTeX XMLCite \textit{T. Kudryk} et al., North-Holland Math. Stud. 197, 155--166 (2004; Zbl 1091.03033)
Lyantse, W. E.; Kudryk, T. S. About nearstandardness. (English) Zbl 1103.47057 Funkts. Anal. 38, 63-77 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 47S20 03E70 03H05 46S20 PDFBibTeX XMLCite \textit{W. E. Lyantse} and \textit{T. S. Kudryk}, Funkts. Anal. 38, 63--77 (2003; Zbl 1103.47057)
Lyantse, W. E.; Kudrik, T. S. On near-standardness in Hilbert spaces. (Russian, English) Zbl 1011.46060 Sib. Mat. Zh. 43, No. 5, 1077-1094 (2002); translation in Sib. Math. J. 43, No. 5, 868-881 (2002). MSC: 46S20 47S20 03H05 PDFBibTeX XMLCite \textit{W. E. Lyantse} and \textit{T. S. Kudrik}, Sib. Mat. Zh. 43, No. 5, 1077--1094 (2002; Zbl 1011.46060); translation in Sib. Math. J. 43, No. 5, 868--881 (2002) Full Text: EuDML
Lyantse, V. E.; Kudryk, T. S. Introduction to nonstandard analysis. (English) Zbl 1102.46313 Mathematical Studies Monograph Series 3. L’viv: VNTL Publishers (ISBN 966-7148-46-7). 255 p. (1997). Reviewer: W. A. J. Luxemburg (MR1723258) MSC: 46S20 46-02 47-02 03E70 03H05 47S20 54J05 PDFBibTeX XMLCite \textit{V. E. Lyantse} and \textit{T. S. Kudryk}, Introduction to nonstandard analysis. L'viv: VNTL Publishers (1997; Zbl 1102.46313)
Kudryk, T. S.; Lyantse, V. E. Operator-valued charges on finite sets. (English) Zbl 0932.28016 Mat. Stud. 7, No. 2, 145-156 (1997). MSC: 28E05 46G10 47S20 46S20 PDFBibTeX XMLCite \textit{T. S. Kudryk} and \textit{V. E. Lyantse}, Mat. Stud. 7, No. 2, 145--156 (1997; Zbl 0932.28016)
Kudrik, T. S.; Lyantse, V. Eh. Near-standardness. (Russian) Zbl 0715.47047 Methods for the investigations of differential and integral operators, Collect. Sci. Works, Kiev, 116-121 (1989). Reviewer: J.Mika MSC: 47S20 03H05 46S20 46E15 PDFBibTeX XML
Lyantse, V. Eh. Perturbations which are infinitely small in the strong operator topology. (English. Russian original) Zbl 0694.47013 Ukr. Math. J. 41, No. 7, 845-847 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 989-992 (1989). Reviewer: B.V.Loginov MSC: 47A55 46S20 PDFBibTeX XMLCite \textit{V. Eh. Lyantse}, Ukr. Math. J. 41, No. 7, 845--847 (1989; Zbl 0694.47013); translation from Ukr. Mat. Zh. 41, No. 7, 989--992 (1989) Full Text: DOI
Lyantse, V. Eh.; Kudrik, T. S. On functions of a discrete variable. (Russian) Zbl 0691.26014 Mathematics today, 1988, Sci.-Methodological Collect., 132-139 (1988). Reviewer: B.Crstici MSC: 26E35 03H05 PDFBibTeX XML
Lyantse, V. Eh. On nonstandard analysis. (Russian) Zbl 0608.03020 Mathematics today, Sci.-methodological Collect., Kiev 1986, 26-44 (1986). Reviewer: K.Čuda MSC: 03H05 26E35 03-01 PDFBibTeX XML
Lyantse, V. Eh. Is it possible to ignore non-standard analysis? (The Jordan form of an operator in infinite-dimensional space). (Russian) Zbl 0604.46080 General theory of boundary value problems, Collect. sci. Works, Kiev 1983, 108-112 (1983). MSC: 46S20 47A05 15A21 PDFBibTeX XML