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Gutman A.E.
Boolean-valued analysis
16 publications, 1999–2023

Development of the theory of Boolean-valued models and their applications in functional analysis

16.
Gutman A.E., Kusraev A.G.
Boolean valued analysis and the Wickstead problem [in Russian] //
Chapter in: Mathematical Forum. Vol. 14. Modern Mathematics. Introductory Lectures (Project OTDE-Workshop). Vladikavkaz: SMI VSC RAS, 2023. P. 11–48.
15.
Gutman A.E.
A sentence preservation theorem for Boolean algebras //
J. Math. Sci. 2023. 8 p.
14.
Gutman A.E.
Boolean-Valued Analysis: See the Simple in the Complex [in Russian] //
Report abstract. International Conference «Order Analysis and Related Problems of Mathematical Modeling, XVI. Operator Theory and Differential Equations» (Vladikavkaz, September 20–25, 2021): Proceedings. Vladikavkaz: SMI VSC RAS and RNO-A, 2021. 1 p.
13.
Gutman A.E.
Boolean-valued set-theoretic systems: General formalism and basic technique //
Mathematics. 2021. V. 9, N 9. Art. 1056. 78 p.
12.
Gutman A.E.
Boolean-valued universe as an algebraic system. II: Intensional hierarchies [in Russian] //
Sib. Matem. Zh. 2020. V. 61, N 3. P. 539–571.
Gutman A.E.
Boolean-valued universe as an algebraic system. II: Intensional hierarchies //
Sib. Math. J. 2020. V. 61, N 3. P. 426–452.
11.
Gutman A.E.
Cumulative structure of a Boolean-valued model of set theory //
Report abstract. International conference on Geometric Analysis in honor of the 90th anniversary of academician Yu.G.Reshetnyak (Novosibirsk, September, 22–28, 2019): Proceedings. Novosibirsk: Sobolev Institute of Mathematics SB RAS, 2019. P. 64–66.
10.
Gutman A.E.
Boolean-valued universe as an algebraic system. I: Basic principles [in Russian] //
Sib. Matem. Zh. 2019. V. 60, N 5. P. 1041–1062.
Gutman A.E.
Boolean-valued universe as an algebraic system. I: Basic principles //
Sib. Math. J. 2019. V. 60, N 5. P. 810–827.
9.
Gutman A.E.
On the structure of the Boolean-valued universe [in Russian] //
Vladikavk. Math. J. 2018. V. 20, issue 2. P. 38–48.
8.
Gutman A.E., Kusraev A.G., Kutateladze S.S.
The growth points of Boolean valued analysis //
Report abstract. Geometry Days in Novosibirsk – 2014. International conference dedicated to 85th anniversary of academician Yu.G.Reshetnyak (Novosibirsk, September 24–27, 2014): Proceedings. Novosibirsk: Sobolev Institute of Mathematics SB RAS, 2014. P. 102.
7.
Gutman A.E.
The technique of definable terms in Boolean valued analysis //
Report abstract. Mal'tsev Meeting. International Conference (Novosibirsk, November 11–15, 2013): Proceedings. Novosibirsk, 2013. P. 164.
6.
Gutman A.E.
An example of using Δ₁ terms in Boolean-valued analysis [in Russian] //
Vladikavk. Math. J. 2012. V. 14, issue 1. P. 47–63.
5.
Gutman A.E., Lisovskaya S.A.
The boundedness principle for lattice-normed spaces [in Russian] //
Report abstract. Contemporary Analysis and Geometry. International Conference (Novosibirsk, September 14–20, 2009): Proceedings. Novosibirsk: Institute of Mathematics, 2009. P. 29.
4.
Gutman A.E., Lisovskaya S.A.
The boundedness principle for lattice-normed spaces [in Russian] //
Sib. Matem. Zh. 2009. V. 50, N 5. P. 1050–1059.
Gutman A.E., Lisovskaya S.A.
The boundedness principle for lattice-normed spaces //
Sib. Math. J. 2009. V. 50, N 5. P. 830–837.
3.
Gutman A.E., Emelyanov E.Yu., Koptev A.V., Kusraev A.G., Kutateladze S.S., Malyugin S.A.
Nonstandard analysis and vector lattices. 2nd ed., corr. and enl. [in Russian].
Novosibirsk: Institute of Mathematics, 2005. x+400 p.
2.
Gutman A.E., Emelyanov E.Yu., Kusraev A.G., Kutateladze S.S.
Nonstandard analysis and vector lattices.
Dordrecht: Kluwer Academic Publishers, 2000. xii+307 p.
1.
Gutman A.E., Emelyanov E.Yu., Kusraev A.G., Kutateladze S.S.
Nonstandard analysis and vector lattices [in Russian].
Novosibirsk: Institute of Mathematics, 1999. x+380 p.
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The papers are presented here for academic purposes and are not intended for mass dissemination or copying. Last updated
November 4, 2023