Found 188 Documents (Results 1–100)
Groups without unitary representations, submeasures, and the escape property. arXiv:2402.11388
Preprint, arXiv:2402.11388 [math.RT] (2024).
Quantum roughness as sensitivity to diffusion noise: quantifying non-classicality of multi-mode systems. (English) Zbl 1533.81047
Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors. (English) Zbl 1487.46068
Reviewer: Alessandro Vignati (Paris)
Erased Kantorovich spaces. (English. Russian original) Zbl 1492.46002
Sib. Math. J. 63, No. 1, 102-118 (2022); translation from Sib. Mat. Zh. 63, No. 1, 123-144 (2022).
Boolean valued analysis: background and results. (English) Zbl 1482.06003
Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 91-105 (2021).
Reviewer: Hirokazu Nishimura (Tsukuba)
Geometric characterization of preduals of injective Banach lattices. (English) Zbl 1455.46022
Reviewer: Pedro Tradacete (Madrid)
Boolean-valued universe as an algebraic system. II: Intensional hierarchies. (English. Russian original) Zbl 1481.03028
Sib. Math. J. 61, No. 3, 426-452 (2020); translation from Sib. Mat. Zh. 61, No. 3, 539-571 (2020).
Boolean-valued universe as an algebraic system. I: Basic principles. (English. Russian original) Zbl 1442.03019
Sib. Math. J. 60, No. 5, 810-827 (2019); translation from Sib. Mat. Zh. 60, No. 5, 1041-1062 (2019).
Reviewer: S. S. Kutateladze (Novosibirsk)
Separating the fan theorem and its weakenings. II. (English) Zbl 1480.03029
Artemov, Sergei (ed.) et al., Logical foundations of computer science. International symposium, LFCS 2018, Deerfield Beach, FL, USA, January 8–11, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10703, 242-255 (2018).
The complexity of Boolean surjective general-valued CSPs. (English) Zbl 1440.68116
Larsen, Kim G. (ed.) et al., 42nd international symposium on mathematical foundations of computer science, MFCS 2017, August 21–25, 2017, Aalborg, Denmark. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 83, Article 4, 14 p. (2017).
Quantum mechanics in a metric sheaf: a model theoretic approach. arXiv:1702.08642
Preprint, arXiv:1702.08642 [math.LO] (2017).
Constructing substitutions on the basis of threshold functions of multivalued logic. (Russian. English summary) Zbl 1492.94226
Realizability semantics for quantified modal logic: generalizing Flagg’s 1985 construction. (English) Zbl 1400.03050
Reviewer: Osamu Sonobe (Follonica)
Boolean-valued analysis of order-bounded operators. (English. Russian original) Zbl 1440.47035
J. Math. Sci., New York 218, No. 5, 609-635 (2016); translation from Fundam. Prikl. Mat. 19, No. 5, 89-126 (2014).
On the computational complexity of finite operations. (English) Zbl 1347.08005
Reviewer: Danica Jakubiková-Studenovská (Košice)
The algebra of conditional sets and the concepts of conditional topology and compactness. (English) Zbl 1436.03266
Math-selfie. (English) Zbl 1468.46009
Boolean valued analysis. Selected topics. (English) Zbl 1407.46003
Trends in Science. The South of Russia. Mathematical Monograph 6. Vladikavkaz: Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences (ISBN 978-5-904695-24-8). iv, 405 p. (2014).
Reviewer: Karim Boulabiar (Tunis)
On order bounded disjointness preserving operators. (English. Russian original) Zbl 1317.47040
Sib. Math. J. 55, No. 5, 915-928 (2014); translation from Sib. Mat. Zh. 55, No. 5, 915-928 (2014).
Reviewer: Ying-Fen Lin (Belfast)
Use model theory in nonsmooth analysis. (English) Zbl 1280.49019
Demyanov, Vladimir F. (ed.) et al., Constructive nonsmooth analysis and related topics. New York, NY: Springer (ISBN 978-1-4614-8614-5/hbk; 978-1-4614-8615-2/ebook). Springer Optimization and Its Applications 87, 1-11 (2014).
Separating the fan theorem and its weakenings. (English) Zbl 1437.03117
Artemov, Sergei (ed.) et al., Logical foundations of computer science. International symposium, LFCS 2013, San Diego, CA, USA, January 6–8, 2013. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 7734, 280-295 (2013).
On Boolean-valued interpretations of real \(C^*\)-algebras. (English) Zbl 1331.46045
Reviewer: Sh. A. Ayupov (Tashkent)
MSC:
46L05
Principles weaker than BD-N. (English) Zbl 1415.03058
Kantorovich’s principle in action: \(AW^\ast\)-modules and injective Banach lattices. (English) Zbl 1326.46018
An example of using \(\Delta_{1}\) terms in Boolean valued analysis. (Russian. English summary) Zbl 1326.03047
The polyhedral Lagrange principle. (English. Russian original) Zbl 1227.15017
Sib. Math. J. 52, No. 3, 484-486 (2011); translation from Sib. Mat. Zh. 52, No. 3, 615-618 (2011).
Sheaf Logic, Quantum Set Theory and the Interpretation of Quantum Mechanics. arXiv:1111.2704
Preprint, arXiv:1111.2704 [math-ph] (2011).
Minimizing AND-EXOR expressions for two-variable multiple-valued input binary output functions. (English) Zbl 1236.94100
MSC:
94C10
68Q25
The boundedness principle for lattice-normed spaces. (Russian, English) Zbl 1224.46003
Sib. Mat. Zh. 50, No. 5, 1050-1059 (2009); translation in Sib. Math. J. 50, No. 5, 830 (2009).
Random gaps. (English) Zbl 1156.03046
Boolean methods in positivity. (English) Zbl 1514.46004
Problems of set-theoretic non-standard analysis. (English. Russian original) Zbl 1226.03067
Russ. Math. Surv. 62, No. 1, 45-111 (2007); translation from Usp. Mat. Nauk 62, No. 1, 51-122 (2007).
Vector measures, integration and applications. (English) Zbl 1155.46018
Boulabiar, Karim (ed.) et al., Positivity. Based on the conference Carthapos06, Tunis, Tunisia, June 8–11, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8477-7/hbk). Trends in Mathematics, 127-160 (2007).
Reviewer: Olav Nygaard (Kristiansand)
Multiple-level circuit solutions to the circuit non-decomposability problem of the set-theoretic modified reconstructability analysis (MRA). (English) Zbl 1131.94030
MSC:
94C10
Boolean valued analysis and positivity. (English) Zbl 1107.46004
Weber, Martin R. (ed.) et al., Proceedings of the conference “Positivity IV—Theory and Applications”, Dresden, Germany, July 25–29, 2005. Dresden, TU Dresden, Institut für Analysis (ISBN 3-86005-512-7/pbk). 93-106 (2006).
On Grothendieck subspaces. (Russian, English) Zbl 1224.46036
Sib. Mat. Zh. 46, No. 3, 620-624 (2005); translation in Sib. Math. J. 46, No. 3, 489-493 (2005).
On differences of Riesz homomorphisms. (Russian, English) Zbl 1106.47033
Sib. Mat. Zh. 46, No. 2, 390-393 (2005); translation in Sib. Math. J. 46, No. 2, 305-307 (2005).
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)
Convex extensional operators. (Russian) Zbl 1097.46514
On band preserving operators. (Russian) Zbl 1094.47513
On the order structure of an abstract spin-factor. (Russian) Zbl 1097.46509
Reviewer: Victor Alexandrov (Novosibirsk)
Abstract interpretation of combinational asynchronous circuits. (English) Zbl 1104.94313
Giacobazzi, Roberto (ed.), Static analysis. 11th international symposium, SAS 2004, Verona, Italy, August 26–28, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22791-1/pbk). Lecture Notes in Computer Science 3148, 181-196 (2004).
MSC:
94C10
Two constructive embedding-extension theorems with applications to continuity principles and to Banach-Mazur computability. (English) Zbl 1059.03073
Constructive proof theory and nonstandard analysis. Edited by G. E. Mints. (Конструктивная теория доказательств и нестандартный анализ.) (Russian) Zbl 1102.03003
Moskva: Ehditorial URSS (ISBN 5-354-00387-3). 543 p. (2003).
Reviewer: MR2118475 (2006b:03080)
Some trends in monadology. (English) Zbl 1047.03052
On ultrametrization of general metric spaces. (English) Zbl 1011.54025
Reviewer: Jerry E.Vaughan (Greensboro)
The nonstandard hull of a normed space in a Boolean valued universe. (English) Zbl 1052.46064
Reviewer: S. S. Kutateladze (Novosibirsk)
Metric Boolean algebras and constructive measure theory. (English) Zbl 1064.03039
Reviewer: Bas Spitters (Nijmegen)
Heuristic principle of L. V. Kantorovich. (Russian) Zbl 0997.01006
Reviewer: V.A.Alexandrov (Novosibirsk)
Some new trends in monadology. (Russian) Zbl 0987.03507
Reshetnyak, Yu. G. (ed.) et al., Proceedings of the conference “Geometry and applications” dedicated to the 70th anniversary of Professor Victor Toponogov, Novosibirsk, Russia, March 13-16, 2000. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 84-94 (2001).
Nonstandard analysis and vector lattices. Updated translation of the Russian original. (English) Zbl 1001.46050
Mathematics and its Applications (Dordrecht). 525. Dordrecht: Kluwer Academic Publishers. xii, 307 p. (2000).
Reviewer: Jürgen Appell (Würzburg)
Nonstandard order analysis. An invitation. (Nestandartnyj poryadkovyj analiz. Priglashenie.) (Russian) Zbl 1007.46064
Vladikavkaz: Izdatel’stvo Severo-Osetinskogo Nauchnogo Tsentra. 140 p. (2000).
Reviewer: Victor Alexandrov (Novosibirsk)
Jordan algebras of abstract measurable operators for \(JBW\)-algebras. (Russian) Zbl 0960.46044
Reviewer: S.S.Kutateladze (Novosibirsk)
Dominated operators. Transl. from the Russian by the author and edited by S. S. Kutateladze. (English) Zbl 0983.47025
Mathematics and its Applications (Dordrecht). 519. Dordrecht: Kluwer Academic Publishers. xiii, 446 p. (2000).
Reviewer: William A.Feldman (Fayetteville)
Estimating the complexity of deciphering a threshold functions in a \(k\)-valued logic. (English. Russian original) Zbl 1027.06500
Comput. Math. Math. Phys. 39, No. 2, 328-334 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 2, 346-352 (1999).
Translating Boolean sets to fuzzy sets (reals and their topology). (English) Zbl 0949.03051
Reviewer: Pavol Zlatoš (Bratislava)
Nonstandard analysis and vector lattices. (Nestandartnyj analiz i vektornye reshetki.) (Russian) Zbl 1042.46500
Novosibirsk: Izdatel’stvo Instituta Matematiki (ISBN 5-86134-068-4/pbk). x, 379 p. (1999).
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)
Some purely topological models for intuitionistic analysis. (English) Zbl 0944.03058
Reviewer: Victor N. Krivtsov (Moskva)
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)
On the complexity of deciphering the threshold functions of \(k\)-valued logic. (English. Russian original) Zbl 0959.68524
Dokl. Math. 58, No. 2, 268-270 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 5, 606-608 (1998).
Function representation of the Boolean-valued universe. (Russian) Zbl 0947.03056
Reviewer: S.A.Malyugin (Novosibirsk)
On the structure of \(AJW\)-algebras of type \(I_2\). (English. Russian original) Zbl 0936.46040
Sib. Math. J. 40, No. 4, 764-774 (1999); translation from Sib. Mat. Zh. 40, No. 4, 905-917 (1999).
Reviewer: S.S.Kutateladze (Novosibirsk)
Function representation of the Boolean-valued universe. (English) Zbl 0938.46006
Reviewer: S.S.Kutateladze (Novosibirsk)
Complexity of implementing functions of \(k\)-valued logic by circuits and formulas in functionally complete bases. (English. Russian original) Zbl 0902.94033
Discrete Appl. Math. 135, No. 1-3, 223-233 (2004); translation from Diskretn. Anal. Issled. Oper., Ser. 1 5, No. 2, 78-89 (1998).
Reviewer: V.F.Murzina (Novosibirsk)
Incompleteness of the hyperreals: An application of forcing to nonstandard analysis. (English) Zbl 1029.03514
Reviewer: Rade Živaljević (Beograd)
Introduction to relative nonstandard analysis. (Introduction à l’analyse non standard relative.) (English) Zbl 1029.26504
Reviewer: Rade Živaljević (Beograd)
Boolean algebras and Boolean-valued models. (Russian) Zbl 0944.46064
Reviewer: V.A.Alexandrov (Novosibirsk)
Decidability of Scott’s model as an ordered \(\mathbb{Q}\)-vectorspace. (English) Zbl 0892.03003
Reviewer: H.Pfeiffer (Hannover)
Invariant homomorphisms of nonstandard extensions of Boolean algebras and vector lattices. (English. Russian original) Zbl 0868.46003
Sib. Math. J. 38, No. 2, 244-252 (1997); translation from Sib. Mat. Zh. 38, No. 2, 286-296 (1997).
Reviewer: S.A.Malyugin (Novosibirsk)
A persistent notion of truth in dynamic semantics. (English) Zbl 0861.03022
Seligman, Jerry (ed.) et al., Logic, language and computation. Vol. 1. Proceedings of the conference on information-oriented approaches to logic, language and computation, Moraga, CA, USA, June 12–15, 1994. Stanford, CA: Center for the Study of Language and Information (CSLI). CSLI Lect. Notes. 58, 199-219 (1996).
Nonstandard theory of vector lattices. (English) Zbl 0991.46044
Kutateladze, S. S. (ed.), Vector lattices and integral operators. Transl. from the Russian. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 358, 1-103 (1996).
Edge valued binary decision diagrams. (English) Zbl 0858.94037
Sasao, Tsutomu (ed.) et al., Representations of discrete functions. Proceedings of the IFIP WG 10.5 workshop on applications of the Reed-Muller expansions in circuit design (Reed-Muller ’95), Makuhari, Chiba, Japan. Boston, MA: Kluwer Academic Publishers. 109-132 (1996).
Reviewer: U.Schöning (Ulm)
MSC:
94C10
68Q25
Nonstandard tools for convex analysis. (English) Zbl 0860.49015
Reviewer: J.Thierfelder (Ilmenau)
Vector lattices and integral operators. Transl. from the Russian. Rev. and updated ed. (English) Zbl 0853.46005
Mathematics and its Applications (Dordrecht). 358. Dordrecht: Kluwer Academic Publishers. ix, 462 p. (1996).
Reviewer: J.Appell (Würzburg)
On nonstandard methods in functional analysis. (English) Zbl 0853.46081
Kalton, Nigel (ed.) et al., Interaction between functional analysis, harmonic analysis, and probability. Proceedings of a conference held at the University of Missouri, Columbia, MO, USA, May 29-June 3, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 175, 301-306 (1996).
Reviewer: M.Wolff (Tübingen)
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