Abdullaev, R. Z.; Chilin, V. I. Arens algebras, associated with commutative von Neumann algebras. (English) Zbl 0924.46049 Ann. Math. Blaise Pascal 5, No. 1, 1-12 (1998). Reviewer: J.Hamhalter (Praha) MSC: 46L51 46L53 46L54 46L10 PDFBibTeX XMLCite \textit{R. Z. Abdullaev} and \textit{V. I. Chilin}, Ann. Math. Blaise Pascal 5, No. 1, 1--12 (1998; Zbl 0924.46049) Full Text: DOI Numdam EuDML
Chilin, V. I.; Dodds, P. G.; Sukochev, F. A. The Kadec-Klee property in symmetric spaces of measurable operators. (English) Zbl 0871.46034 Isr. J. Math. 97, 203-219 (1997). MSC: 46L51 46L53 46L54 46E30 PDFBibTeX XMLCite \textit{V. I. Chilin} et al., Isr. J. Math. 97, 203--219 (1997; Zbl 0871.46034) Full Text: DOI
Chilin, V. I.; Sukochev, F. A. Weak convergence in non-commutative symmetric spaces. (English) Zbl 0836.46057 J. Oper. Theory 31, No. 1, 35-65 (1994). Reviewer: A.Łuczak (Łódź) MSC: 46L51 46L53 46L54 46E30 PDFBibTeX XMLCite \textit{V. I. Chilin} and \textit{F. A. Sukochev}, J. Oper. Theory 31, No. 1, 35--65 (1994; Zbl 0836.46057)
Chilin, Vladimir I.; Krygin, Andrej V.; Sukochev, Fedor A. Local uniform and uniform convexity of non-commutative symmetric spaces of measurable operators. (English) Zbl 0767.46039 Math. Proc. Camb. Philos. Soc. 111, No. 2, 355-368 (1992). Reviewer: F.Sukochev (Tashkent) MSC: 46L51 46L53 46L54 47L30 46E30 PDFBibTeX XMLCite \textit{V. I. Chilin} et al., Math. Proc. Camb. Philos. Soc. 111, No. 2, 355--368 (1992; Zbl 0767.46039) Full Text: DOI
Chilin, Vladimir I.; Krygin, Andrei V.; Sukochev, Pheodor A. Extreme points of convex fully symmetric sets of measurable operators. (English) Zbl 0787.46051 Integral Equations Oper. Theory 15, No. 2, 186-226 (1992). Reviewer: S.Goldstein (Łódź) MSC: 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{V. I. Chilin} et al., Integral Equations Oper. Theory 15, No. 2, 186--226 (1992; Zbl 0787.46051) Full Text: DOI
Krygin, A. V.; Sukochev, F. A.; Chilin, V. I. Uniform convexity and local uniform convexity of symmetric spaces of measurable operators. (English. Russian original) Zbl 0780.46036 Sov. Math., Dokl. 43, No. 2, 445-448 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 1, 555-558 (1991). Reviewer: J.Hamhalter (Praha) MSC: 46L51 46L53 46L54 47L07 PDFBibTeX XMLCite \textit{A. V. Krygin} et al., Sov. Math., Dokl. 43, No. 2, 445--448 (1991; Zbl 0780.46036); translation from Dokl. Akad. Nauk SSSR 317, No. 1, 555--558 (1991)
Masharipova, S. Sh.; Chilin, V. I. Order characterization of noncommutative \(L_ p\)-spaces associated with a semifinite von Neumann algebra. (Russian) Zbl 0719.46036 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1990, No. 2, 26-31 (1990). Reviewer: St.Goldstein (Łódź) MSC: 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{S. Sh. Masharipova} and \textit{V. I. Chilin}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1990, No. 2, 26--31 (1990; Zbl 0719.46036)
Sukochev, F. A.; Chilin, V. I. Measure convergence in regular noncommutative symmetric spaces. (English. Russian original) Zbl 0718.46043 Sov. Math. 34, No. 9, 78-87 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 9(340), 63-70 (1990). Reviewer: Sh.A.Ayupov (Tashkent) MSC: 46L51 46L53 46L54 46E30 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Sov. Math. 34, No. 9, 78--87 (1990; Zbl 0718.46043); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 9(340), 63--70 (1990)
Sukochev, F. A.; Chilin, V. I. Convergence criteria in regular noncommutative symmetric spaces. (Russian) Zbl 0718.46042 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1990, No. 4, 34-39 (1990). Reviewer: Sh.A.Ayupov (Tashkent) MSC: 46L51 46L53 46L54 46E30 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1990, No. 4, 34--39 (1990; Zbl 0718.46042)
Sukochev, F. A.; Chilin, V. I. Symmetric spaces on semifinite von Neumann algebras. (English. Russian original) Zbl 0751.46039 Sov. Math., Dokl. 42, No. 1, 97-101 (1991); translation from Dokl. Akad. Nauk SSSR 313, No. 4, 811-815 (1990). Reviewer: A.Łuczak (Łódź) MSC: 46L51 46L53 46L54 46E30 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Sov. Math., Dokl. 42, No. 1, 97--101 (1990; Zbl 0751.46039); translation from Dokl. Akad. Nauk SSSR 313, No. 4, 811--815 (1990)
Korol’, A. M.; Chilin, V. I. Measurable operators in a Boolean-valued model of set theory. (Russian) Zbl 0704.46044 Dokl. Akad. Nauk UzSSR 1989, No. 3, 7-9 (1989). MSC: 46L51 46L53 46L54 46S20 03C90 PDFBibTeX XMLCite \textit{A. M. Korol'} and \textit{V. I. Chilin}, Dokl. Akad. Nauk UzSSR 1989, No. 3, 7--9 (1989; Zbl 0704.46044)
Chilin, Vladimir I.; Medzhitov, Arthur M.; Sukochev, Pheodor A. Isometries of non-commutative Lorentz spaces. (English) Zbl 0646.46060 Math. Z. 200, No. 4, 527-545 (1989). Reviewer: Vladimir I. Chilin (Tashkent) MSC: 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{V. I. Chilin} et al., Math. Z. 200, No. 4, 527--545 (1989; Zbl 0646.46060) Full Text: DOI EuDML
Chilin, V. I. Baire ordered \(*\)-algebroids. (English. Russian original) Zbl 0800.46005 Sarymsakov, T. A. (ed.), Operator algebras and function spaces. Tashkent: Fan. 84-94 (1988). MSC: 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{V. I. Chilin}, in: Operatornye algebry i funktsional'nye prostranstva. Tashkent: Fan. 84--94 (1988; Zbl 0800.46005)
Sukochev, F. A.; Chilin, V. I. A triangle inequality for measurable operators with respect to the Hardy- Littlewood order. (Russian) Zbl 0673.46044 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1988, No. 4, 44-50 (1988). Reviewer: Sh.A.Ayupov MSC: 46L51 46L53 46L54 47B10 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1988, No. 4, 44--50 (1988; Zbl 0673.46044)
Sukochev, F. A.; Chilin, V. I. Isomorphic classification of separable noncommutative \(L_ p\)-spaces on von Neumann atomic algebras. (Russian) Zbl 0659.46057 Dokl. Akad. Nauk UzSSR 1988, No. 1, 9-11 (1988). Reviewer: V.Golodets MSC: 46L51 46L53 46L54 46L35 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Dokl. Akad. Nauk UzSSR 1988, No. 1, 9--11 (1988; Zbl 0659.46057)
Chilin, V. I. Extension of completely additive mappings form the logic of projectors of a JBW-algebra. (Russian) Zbl 0741.46037 Mathematical analysis, algebra and probability theory, Collect. Sci. Works, Tashkent, 100-109 (1988). Reviewer: Sh.A.Ayupov (Tashkent) MSC: 46L70 46H70 46L51 46L53 46L54 17C65 PDFBibTeX XMLCite \textit{V. I. Chilin}, in: Outer conjugacy of actions of locally compact groups in the normalizer of a measurable equivalence relation. . 100--109 (1988; Zbl 0741.46037)
Sukochev, F. A.; Chilin, V. I. Nonisomorphicity of normed ideal spaces on commutative and noncommutative von Neumann algebras. (Russian) Zbl 0651.46061 Dokl. Akad. Nauk UzSSR 1987, No. 8, 8-10 (1987). Reviewer: Sh.A.Ayupov MSC: 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Dokl. Akad. Nauk UzSSR 1987, No. 8, 8--10 (1987; Zbl 0651.46061)
Sukochev, F. A.; Chilin, V. I. Description of closed convex symmetric sets of measurable operators. (English. Russian original) Zbl 0649.46057 Sov. Math. 31, No. 10, 39-46 (1987); translation from Izv. Vyssh. Uchebn. Zaved., mat. 1987, No. 10(305), 31-37 (1987). Reviewer: P.Kruszyński MSC: 46L51 46L53 46L54 47L60 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{V. I. Chilin}, Sov. Math. 31, No. 10, 39--46 (1987; Zbl 0649.46057); translation from Izv. Vyssh. Uchebn. Zaved., mat. 1987, No. 10(305), 31--37 (1987)
Chilin, V. I. Partially ordered Baer involutive algebras. (English. Russian original) Zbl 0618.46054 J. Sov. Math. 37, 1449-1472 (1987); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 27, 99-128 (1985). Reviewer: V.I.Ovchinnikov MSC: 46L51 46L53 46L54 46A40 46K05 46A32 PDFBibTeX XMLCite \textit{V. I. Chilin}, J. Sov. Math. 37, 1449--1472 (1987; Zbl 0618.46054); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 27, 99--128 (1985) Full Text: DOI
Chilin, V. I. Almost everywhere convergence and (o)-convergence in rings of measurable operators. (Russian) Zbl 0756.46029 Mathematical analysis, algebra and probability theory, Collect. Sci. Works, Tashkent, 97-101 (1987). MSC: 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{V. I. Chilin}, in: On a proof of the Gauss-Bonnet theorem. . 97--101 (1987; Zbl 0756.46029) Full Text: EuDML
Chilin, V. I. The triangle inequality in algebras of locally measurable operators. (Russian) Zbl 0761.46050 Mathematical analysis and algebra, Collect. Sci. Works, Tashkent, 77-81 (1986). MSC: 46L51 46L53 46L54 47L60 PDFBibTeX XMLCite \textit{V. I. Chilin}, in: Математический анализ и алгебра. Сборник научных трудов. Tashkent: Tashkentskij Gosudarstvennyj Universitet Im. V. I. Lenina. 77--81 (1986; Zbl 0761.46050)
Chilin, V. I. Abstract characterization of noncommutative Orlicz spaces. (Russian) Zbl 0651.46060 Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1986, No. 5, 33-39 (1986). Reviewer: V.I.Ovchinnikov MSC: 46L51 46L53 46L54 46E30 47L30 PDFBibTeX XMLCite \textit{V. I. Chilin}, Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1986, No. 5, 33--39 (1986; Zbl 0651.46060)
Chilin, V. I. Ordered *-algebroids. (English. Russian original) Zbl 0598.46040 Sov. Math., Dokl. 31, 399-402 (1985); translation from Dokl. Akad. Nauk SSSR 281, 1063-1067 (1985). Reviewer: Chu Cho-ho MSC: 46L51 46L53 46L54 46E30 46B42 PDFBibTeX XMLCite \textit{V. I. Chilin}, Sov. Math., Dokl. 31, 399--402 (1985; Zbl 0598.46040); translation from Dokl. Akad. Nauk SSSR 281, 1063--1067 (1985)
Sarymsakov, T. A.; Ayupov, Sh. A.; Khadzhiev, Dzh.; Chilin, V. I. Ordered algebras. (Uporyadochennye algebry). (Russian) Zbl 0542.46001 Akademiya Nauk Uzbekskoj SSR. Institut Matematiki Imeni V. I. Romanovskogo. Tashkent: Izdatel’stvo ”Fan” Uzbekskoj SSR. 304 p. R. 3.10 (1983). Reviewer: Chu Cho-Ho MSC: 46-02 46A40 46L99 17C65 46L51 46L53 46L54 06F25 47A40 46K05 PDFBibTeX XML
Chilin, V. I. Spectral theorem for the algebra of locally measurable operators adjoint to an \(AW^*\)-algebra. (Russian) Zbl 0591.46056 Sb. Nauchn. Tr., Tashk. Gos. Univ. 689, 83-92 (1982). Reviewer: A.Luczak MSC: 46L51 46L53 46L54 47L60 PDFBibTeX XMLCite \textit{V. I. Chilin}, Sb. Nauchn. Tr., Tashk. Gos. Univ. 689, 83--92 (1982; Zbl 0591.46056)
Chilin, V. I. An algebraic description of non-commutative probability spaces. (Russian) Zbl 0498.46048 Dokl. Akad. Nauk UzSSR 1980, No. 7, 5-8 (1980). MSC: 46L51 46L53 46L54 46K05 PDFBibTeX XMLCite \textit{V. I. Chilin}, Dokl. Akad. Nauk UzSSR 1980, No. 7, 5--8 (1980; Zbl 0498.46048)