CURRICULUM VITAE
S.S. Kutateladze at the
Sobolev Centennial on October 6, 2008 Born at St. Petersburg (Leningrad) on October 2, 1945
View of the Neva River from
the Peter and Paul Fortress on September 2, 2005 Motto
Esse quam videri
Novosibirsk State University, Department of Computational Mathematics A talk at the Kantorovich seminar in the Sobolev Institute in 1969
Degrees PhD in 1970 from the United Scientific
Council of the Siberian Division of
the Academy of Sciences
for the thesis
“Related Topics of Geometry and Mathematical Programming”
ScD in 1979 from
St. Petersburg State University
for the thesis
“Linear Problems of Convex Analysis”
S.L. Sobolev and S.S. Kutateladze on September 14, 1979
Positions Sobolev Institute of Mathematics of the
Siberian Division of the RAS 1968–1970 postgraduate 1970–1976 junior scientific officer 1976–1986 senior scientific officer 1986–2006 head of the
laboratory of functional analysis
2006– by now senior principal scientific officer
Novosibirsk State University
1968–1970 instructor 1970–1976 assistant professor 1976–1980 associate professor 1980–2020 full professor,
vice-chair of the department of mathematical analysisYu.G. Reshetnyak, S.M. Alexandrova, A.D. Alexandrov, and Main Areas of Research Main Results
Tools for the parametrization and explicit solution
in
Alexandrov surface area measures
of the isoperimetric-type problems of convex geometry
with arbitrary constraints on the mixed volumes and location of
the solid to find.
The new class of geometrical extremal problems
is distinquished and partly solved in which the best result must be achieved
in presence of conflicting goals.
These problems are addressed along the lines of multiple criteria
decision making.
The basics of abstract convexity through the
Minkowski duality
in lattice-theoretic setting. The theory of supremal generators and
Choquet boundaries
in
Dedekind complete vector lattices also known as
Kantorovich
spaces.
General rules of subdifferential calculus for convex operators:
explicit formulas for
recalculating the solutions and values
of convex extremal problems under convex changes-of-variable
and the technique of approximate and infinitesimal solutions.
Complete description, of relevance to mathematical economics,
for the
abstract modules over rings which
enjoy the principles of linear programming or separation theory .
The first and most popular concept of ε-efficient solution for
multiple criteria extremal problems.
Classification of the tangent cones of nonsmooth analysis
(stemming from Bouligand ,
Clarke ,
Hadamard , et al.)
in terms of monadic quantifier prefixes.
Combined nonstandard methods
that rest on interplay between the
Robinsonian infinitesimal and
Boolean valued versions
of analysis.
Some model-theoretic technique
that leads to description of an order bounded operator
whose every stratum has kernel a sublattice or
a
Grothendieck subspace.
The techique yields the development of Boolean valued analysis for the main sections
of functional anlysis; i.e., the theories of Banach spaces,
Banach algebras , and linear operators.
In particular, there are given the
first operator versions of the classical
Farkas lemma in the theory of simultaneous inequalities and the new versions of the
Stone–Weierstrass theorem.
Main Monographs
Minkowski Duality and Its Applications. A.M. Rubinov )
Ordered Vector Spaces. G.P. Akilov )
Fundamentals of Functional Analysis.
Sobolev Institute Press (1995, 2000, 2001, 2006);
Kluwer Academic Publishers (1996).
Table of Contents and Preface in Adobe Acrobat (PDF) Format EMIS Electronic Library [in Russian]
Subdifferentials: Theory and Applications.
Kluwer Academic Publishers (1995);
A.G. Kusraev )
Table of Contents and Preface in Adobe Acrobat (PDF) Format
Nonstandard Methods of Analysis.
A.G. Kusraev )
Vector Lattices and Integral Operators. A.V. Bukhvalov et al.)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
Russian→English in Writing: Advice to the Occasional Translator. EMIS Electronic Library;
The book in Adobe Acrobat (PDF) Format
The forth edition in HTML
Boolean Valued Analysis.
Sobolev Institute Press (1999, 2003);
Kluwer Academic Publishers (1999)
A.G. Kusraev )
Table of Contents and Preface in Adobe Acrobat (PDF) Format
Nonstandard Analysis and Vector Lattices. Sobolev Institute Press (1999, 2005);
Kluwer Academic Publishers (2000) A.E. Gutman et al.)
Table of Contents and Preface in Adobe Acrobat (PDF) Format
Infinitesimal Analysis Sobolev Institute Press
(2001, 2006);
Kluwer Academic Publishers (2002)E.I. Gordon and
A.G. Kusraev )
Table of Contents and Preface in Adobe Acrobat (PDF) Format
Leonid Vital'evich Kantorovich as Scholar and Person.
Vol. 1, 2002, 443 p.;
Vol. 2, 2004, 614 p.
V.L. Kantorovich and
Ya.I. Fet )
Introduction to Boolean Valued Analysis.
A.G. Kusraev )
Subdifferential Calculus: Theory and Applications.
A.G. Kusraev )
Science and Its People.
Infinitesimal Analysis: Selected Topics. E.I. Gordon and
A.G. Kusraev )
Boolean Valued Analysis: Selected Topics.
A.G. Kusraev )
Science at a Crossroads.
Main Surveys and Talks
The Minkowski Duality and Its Applications. Russian Math. Surveys. 1972, Vol. 27, No. 3, 137–191
A.M. Rubinov ).
Choquet Boundaries in K -Spaces. Russian Math. Surveys. 1975, Vol. 30, No. 4, 115–155.
Convex Operators. Russian Math. Surveys, 1979, Vol. 34, No. 1, 181–214.
Local Convex Analysis. Journal Sov. Math., 1984, Vol. 26, No. 4, 2048–2087
A.G. Kusraev ).
Credenda of Nonstandard Analysis. Siberian Advances in Mathematics, 1991, Vol. 1, No. 1, 109–137.
Nonstandard Methods in Geometric Functional Analysis.
Second Siberian Winter School: Algebra and Analysis.
A.G. Kusraev ).
Nonstandard Methods for Kantorovich Spaces. Siberian Advances in Mathematics, 1992, Vol. 2,
No. 2, 114–152
A.G. Kusraev ).
Boolean-Valued Introduction to the Theory of Vector
Lattices. Third Siberian School: Algebra and Analysis.
A.G. Kusraev ).
Nonstandard Tools for Convex Analysis. Mathematica
Japonica, 1996, Vol. 43,
No. 2, 391–410.
Parametrization of Isoperimetric-Type Problems in Convex Geometry. Siberian Advances in Mathematics, 1999, Vol. 9,
No 3, 115–131.
Boolean Methods in the Theory of Vector Lattices. Studies in Functional Analysis and Its Applications.
A.G. Kusraev ).
What Is Boolean Valued Analysis? Siberian Advances in Mathematics, 2007, Vol. 17, No. 2,
91–111.
Boolean Methods in Positivity. Journal of Applied and Industrial Mathematics, 2008, Vol. 2,
No. 1, 81–99
A.G. Kusraev ).
Harpedonaptae and Abstract Convexity. Journal of Applied and Industrial Mathematics. 2008, Vol. 2,
No. 2, 215–221.
The Wickstead Problem.
Siberian Electronic Mathematical Reports. 2008, Vol. 5, 293–333A.E. Gutman and
A.G. Kusraev ).
Domination, Discretization, and Scalarization.
Journal of Applied and Industrial Mathematics, 2009,
Vol. 3, No. 1, 96–106.
Boolean Trends in Linear Inequalities. Journal of Applied and Industrial Mathematics, 2010, Vol. 4, No. 3, 340–348.
Leibnizian, Robinsonian, and Boolean Valued Monads. Journal of Applied and Industrial Mathematics, 2011, Vol. 5, No. 3, 365–373.
Nonstandard Tools for Nonsmooth Analysis. Journal of Applied and Industrial Mathematics, 2012, Vol. 6, No. 3, 332–338.
Some Applications of Boolean Valued Analysis. Journal of Applied Logics—IfCoLog Journal of Logics and Their
Applications,
A.G. Kusraev ).
Boolean Valued Analysis: Background and Results. Operator Theory and Differential Equations,
2021, Birkhäuser, 91–105
A.G. Kusraev ).
Boolean Valued Analysis of Banach Algebras. Siberian Math. J. , 2023, Vol. 64, No. 4, 1001–1034
(with
A.G. Kusraev ).
Jean-Michel Kantor ,
Loren Graham ,
and S.S. Kutateladze Main Biographic Articles The original versions of the articles published by Springer-Verlag www.springer.com .
Public Duties
Siberian Mathematical Journal , deputy editor-in-chiefAsian–European Journal of Mathematics , deputy chief-editorJournal of Applied and Industrial Mathematics , deputy editor-in-chief and copyeditorSiberian Journal for Industrial Mathematics , deputy editor-in-chief (1998–2016), member of the editorial boardPositivity , associate editorSiberian Advances in Mathematics , deputy editor-in-chief (1991–2007), member of the editorial boardHerald of the Vladikavkaz Scientific Center , member of the editorial boardMathematical Notes , member of the editorial boardScientiae Mathematicae Japonicae , member of the editorial boardVladikavkaz Mathematical Journal , member of the editorial boardMathematical Forum. Trends in Science: The South of Russia, member of the editorial boardScience First Hand member of the editorial councilMathematics Open , member of the editorial boardThe Board of Trustees of
Novosibirsk State University, member of the board (2005–2012)
Ministry for Science and Education of the Russian Federation,
expert
At a
talk in the Sobolev Institute on August 30, 2012
Addresses Home: 9 Zolotodolinskaya Street, Ap. 14
Novosibirsk, 630090
Russia
Office: 4 Academician Koptyug Avenue, Room 315
Novosibirsk, 630090
Russia
Telephone Numbers
Mobile: +7 9139851930Home: (+7383)3301124Office: (+7383)3297596Fax: (+7383)3332598
E-mail
https://orcid.org/0000-0002-5306-2788