Kusraev, A. G.; Kutateladze, S. S. Boolean valued analysis of Banach spaces. (English) Zbl 07804702 Sib. Math. J. 65, No. 1, 190-233 (2024). MSC: 46B42 03C90 47Bxx PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Sib. Math. J. 65, No. 1, 190--233 (2024; Zbl 07804702) Full Text: DOI
Kusraev, A. G.; Kutateladze, S. S. Boolean valued analysis of Banach algebras. (English) Zbl 07729659 Sib. Math. J. 64, No. 4, 1001-1034 (2023). MSC: 46L05 46H70 03C90 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Sib. Math. J. 64, No. 4, 1001--1034 (2023; Zbl 07729659) Full Text: DOI
Kusraev, Anatoly G. Concrete representation of injective Banach lattices. (English) Zbl 1458.46010 Math. Methods Appl. Sci. 43, No. 16, 9499-9508 (2020). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46B04 46B42 46B40 46-02 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Math. Methods Appl. Sci. 43, No. 16, 9499--9508 (2020; Zbl 1458.46010) Full Text: DOI
Kusraev, A. G.; Kutatelatze, S. S. Geometric characterization of preduals of injective Banach lattices. (English) Zbl 1455.46022 Indag. Math., New Ser. 31, No. 5, 863-878 (2020). Reviewer: Pedro Tradacete (Madrid) MSC: 46B42 03C90 47B65 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutatelatze}, Indag. Math., New Ser. 31, No. 5, 863--878 (2020; Zbl 1455.46022) Full Text: DOI arXiv
Kusraev, A. G.; Kutateladze, S. S. Two applications of Boolean valued analysis. (English. Russian original) Zbl 1446.46002 Sib. Math. J. 60, No. 5, 902-910 (2019); translation from Sib. Mat. Zh. 60, No. 5, 1153-1164 (2019). MSC: 46A40 46B42 06E99 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Sib. Math. J. 60, No. 5, 902--910 (2019; Zbl 1446.46002); translation from Sib. Mat. Zh. 60, No. 5, 1153--1164 (2019) Full Text: DOI arXiv
Kusraev, Anatoliĭ Georgievich; Tasoev, Batradz Botazovich Integration for positive measures with values in quasi-Banach lattices. (Russian. English summary) Zbl 1466.46036 Vladikavkaz. Mat. Zh. 20, No. 1, 69-85 (2018). MSC: 46G10 46B42 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{B. B. Tasoev}, Vladikavkaz. Mat. Zh. 20, No. 1, 69--85 (2018; Zbl 1466.46036) Full Text: DOI MNR
Kusraev, A. G.; Tasoev, B. B. Kantorovich-Wright integration and representation of quasi-Banach lattices. (English) Zbl 1473.46031 J. Math. Anal. Appl. 462, No. 1, 712-729 (2018). MSC: 46B42 46E30 46A40 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{B. B. Tasoev}, J. Math. Anal. Appl. 462, No. 1, 712--729 (2018; Zbl 1473.46031) Full Text: DOI
Kusraev, Anatoliĭ Georgievich; Tasoev, Batradz Botazovich Maximal quasi-normed extension of quasi-normed lattices. (English) Zbl 1463.46001 Vladikavkaz. Mat. Zh. 19, No. 3, 41-50 (2017). MSC: 46A16 46B42 46E30 46G10 47B38 47G10 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{B. B. Tasoev}, Vladikavkaz. Mat. Zh. 19, No. 3, 41--50 (2017; Zbl 1463.46001) Full Text: MNR
Kusraev, Anatoliĭ Georgievich Operators on injective Banach lattices. (English) Zbl 1463.46035 Vladikavkaz. Mat. Zh. 18, No. 1, 42-50 (2016). MSC: 46B42 46B04 47B65 03C90 03C98 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Vladikavkaz. Mat. Zh. 18, No. 1, 42--50 (2016; Zbl 1463.46035) Full Text: MNR
Kusraev, A. G. The Boolean transfer principle for injective Banach lattices. (English. Russian original) Zbl 1344.46014 Sib. Math. J. 56, No. 5, 888-900 (2015); translation from Sib. Mat. Zh. 56, No. 5, 1111-1029 (2015). MSC: 46B42 03C90 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Math. J. 56, No. 5, 888--900 (2015; Zbl 1344.46014); translation from Sib. Mat. Zh. 56, No. 5, 1111--1029 (2015) Full Text: DOI
Kusraev, Anatoly G. Injective Banach lattices: a survey. (English) Zbl 1463.46036 Eurasian Math. J. 5, No. 3, 58-79 (2014). MSC: 46B42 46B04 47B65 03C90 03C98 46-02 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Eurasian Math. J. 5, No. 3, 58--79 (2014; Zbl 1463.46036) Full Text: MNR
Kusraev, A. G. Classification of injective Banach lattices. (English. Russian original) Zbl 1320.46017 Dokl. Math. 88, No. 3, 630-633 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 12-16 (2013). Reviewer: Constantin Niculescu (Craiova) MSC: 46B42 46E05 03C90 46B40 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Dokl. Math. 88, No. 3, 630--633 (2013; Zbl 1320.46017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 12--16 (2013) Full Text: DOI
Kusraev, A. G. Derivations and automorphisms in the algebra of measurable complex-valued functions. (Russian) Zbl 1299.46052 Vladikavkaz. Mat. Zh. 7, No. 3, 45-49 (2005). MSC: 46J10 47B65 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Vladikavkaz. Mat. Zh. 7, No. 3, 45--49 (2005; Zbl 1299.46052) Full Text: MNR
Kusraev, A. G.; Kutateladze, S. S. Introduction to Boolean-valued analysis. (Введение в булевозначный анализ.) (Russian) Zbl 1087.03032 Moskva: Nauka (ISBN 5-02-033710-2/hbk). 525 p. (2005). Reviewer: Miroslav Repický (Košice) MSC: 03E40 03-02 46-02 03C90 26E35 46A40 46L60 46H70 46S20 47L60 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Введение в булевозначный анализ (Russian). Moskva: Nauka (2005; Zbl 1087.03032)
Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. Infinitesimal analysis. Part 2. (Инфинитезимальный анализ. Часть 2.) (Russian) Zbl 1013.46004 Nestandartnye Metody Analiza. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. viii, 247 p. (2001). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 46-02 46S20 03H05 43A75 49J52 PDFBibTeX XMLCite \textit{E. I. Gordon} et al., Инфинитезимальный анализ. Часть 2 (Russian). Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (2001; Zbl 1013.46004)
Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. Infinitesimal analysis. Part I. (Инфинитезимальный анализ. Часть I.) (Russian) Zbl 1013.46003 Nestandartnye Metody Analiza. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. x, 317 p. (2001). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 46-02 46S20 03H05 49J52 PDFBibTeX XMLCite \textit{E. I. Gordon} et al., Инфинитезимальный анализ. Часть I (Russian). Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (2001; Zbl 1013.46003)
Kusraev, A. G.; Kutateladze, S. S. On combined nonstandard methods in functional analysis. (English) Zbl 1027.46515 Vladikavkaz. Mat. Zh. 2, No. 1, 3-9 (2000). MSC: 46S20 03H05 47S20 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Vladikavkaz. Mat. Zh. 2, No. 1, 3--9 (2000; Zbl 1027.46515) Full Text: EuDML
Kusraev, A. G.; Kutateladze, S. S. Boolean valued analysis. Transl. from the Russian. (English) Zbl 0935.03058 Mathematics and its Applications (Dordrecht). 494. Dordrecht: Kluwer Academic Publishers. xii, 322 p. (1999). Reviewer: Miroslav Repický (Košice) MSC: 03E40 46S20 03-02 46-02 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Boolean valued analysis. Transl. from the Russian. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0935.03058)
Kusraev, A. G.; Kutateladze, S. S. Boolean-valued analysis. (Bulevoznachnyj analiz.) (Russian) Zbl 0955.46046 Nestandartnye Metody Analiza. Novosibirsk: Izdatel’stvo Instituta Matematiki. 384 p. (1999). Reviewer: A.E.Gutman (Novosibirsk) MSC: 46S20 03C90 26E35 46A40 46-02 46H25 47L60 46H70 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Bulevoznachnyj analiz (Russian). Novosibirsk: Izdatel'stvo Instituta Matematiki (1999; Zbl 0955.46046)
Kusraev, A. G. Dominated operators. IV. (English) Zbl 0853.47023 Sib. Adv. Math. 5, No. 2, 99-121 (1995). MSC: 47B60 47A60 47B10 46A40 46B42 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Adv. Math. 5, No. 2, 99--121 (1995; Zbl 0853.47023)
Kusraev, A. G. Dominated operators. I. (English) Zbl 0853.47020 Sib. Adv. Math. 4, No. 3, 51-82 (1994). MSC: 47B60 46A40 47B10 47S20 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Adv. Math. 4, No. 3, 51--82 (1994; Zbl 0853.47020)
Kusraev, A. G.; Malyugin, S. A. On the Fourier transform of dominated mappings. (English. Russian original) Zbl 0857.43005 Sib. Math. J. 35, No. 6, 1141-1156 (1994); translation from Sib. Mat. Zh. 35, No. 6, 1287-1304 (1994). Reviewer: A.L.Brodskij (Severodonetsk) MSC: 43A25 43A32 46E05 46G10 28B15 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. A. Malyugin}, Sib. Math. J. 35, No. 6, 1141--1156 (1994; Zbl 0857.43005); translation from Sib. Mat. Zh. 35, No. 6, 1287--1304 (1994) Full Text: DOI
Kusraev, A. G. On the article “Linear operators in lattice-normed spaces”. (English. Russian original) Zbl 0778.47030 Sib. Math. J. 31, No. 4, 708-709 (1990); translation from Sib. Mat. Zh. 31, No. 4(182), 212-213 (1990). MSC: 47B65 46B99 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Math. J. 31, No. 4, 708--709 (1990; Zbl 0778.47030); translation from Sib. Mat. Zh. 31, No. 4(182), 212--213 (1990) Full Text: DOI
Kusraev, A. G.; Malyugin, S. A. Atomic decomposition of vector measures. (English. Russian original) Zbl 0699.28004 Sib. Math. J. 30, No. 5, 744-751 (1989); translation from Sib. Mat. Zh. 30, No. 5(177), 101-110 (1989). Reviewer: P.K.Pavlakos MSC: 28B05 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. A. Malyugin}, Sib. Math. J. 30, No. 5, 744--751 (1989; Zbl 0699.28004); translation from Sib. Mat. Zh. 30, No. 5(177), 101--110 (1989) Full Text: DOI
Kusraev, A. G. On integral representation of majorized operators in spaces of measurable vector-valued functions. (English. Russian original) Zbl 0639.47023 Sov. Math., Dokl. 35, 367-370 (1987); translation from Dokl. Akad. Nauk SSSR 293, 788-792 (1987). Reviewer: A.Bukhvalov MSC: 47B38 47B60 46A40 46B22 46B42 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sov. Math., Dokl. 35, 367--370 (1987; Zbl 0639.47023); translation from Dokl. Akad. Nauk SSSR 293, 788--792 (1987)
Kusraev, A. G. Banach-Kantorovich spaces. (English. Russian original) Zbl 0576.46010 Sib. Math. J. 26, 254-259 (1985); translation from Sib. Mat. Zh. 26, No. 2(150), 119-126 (1985). MSC: 46B20 03C90 46A40 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Math. J. 26, 254--259 (1985; Zbl 0576.46010); translation from Sib. Mat. Zh. 26, No. 2(150), 119--126 (1985) Full Text: DOI
Kusraev, A. G. Subdifferential of a sum. (English) Zbl 0602.46048 Sib. Math. J. 25, 595-598 (1984). MSC: 46G05 47H07 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Math. J. 25, 595--598 (1984; Zbl 0602.46048) Full Text: DOI
Kusraev, A. G.; Strizhevskij, V. Z. Lattice-normed spaces and classes of continuous vector-functions. (Russian) Zbl 0584.46013 Optimizatsiya 34(51), 24-36 (1984). Reviewer: M.Abel MSC: 46B42 46A40 46E40 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{V. Z. Strizhevskij}, Optimizatsiya 34(51), 24--36 (1984; Zbl 0584.46013)
Kusraev, A. G. On the subdifferential of a sum. (Russian) Zbl 0573.46025 Sib. Mat. Zh. 25, No. 4(146), 107-110 (1984). Reviewer: Duong Minh Duc MSC: 46G05 47H07 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Mat. Zh. 25, No. 4(146), 107--110 (1984; Zbl 0573.46025) Full Text: EuDML