Semyon Samsonovich Kutateladze (; October 2, 1945 – January 15, 2025) was a Russian mathematician. He was known for his contributions to

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics ...

and its applications to vector lattices and

optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfiel ...

. In particular, he made contributions to the

calculus Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the ...

subdifferential In mathematics, the subderivative (or subgradient) generalizes the derivative to convex functions which are not necessarily Differentiable function, differentiable. The set of subderivatives at a point is called the subdifferential at that point. ...

s for vector-lattice valued functions, to whose study he introduced methods of

Boolean-valued model In mathematical logic, a Boolean-valued model is a generalization of the ordinary Tarskian notion of structure from model theory. In a Boolean-valued model, the truth values of propositions are not limited to "true" and "false", but instead take v ...

s and

infinitesimal In mathematics, an infinitesimal number is a non-zero quantity that is closer to 0 than any non-zero real number is. The word ''infinitesimal'' comes from a 17th-century Modern Latin coinage ''infinitesimus'', which originally referred to the " ...

s. He was professor of mathematics at

Novosibirsk State University Novosibirsk State University (NSU) is a public research university located in Novosibirsk, Russia. The university was founded in 1958, on the principles of integration of education and science, early involvement of students with research act ...

, where he continued and enriched the scientific tradition of

Leonid Kantorovich Leonid Vitalyevich Kantorovich (, ; 19 January 19127 April 1986) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of linear programm ...

. His father was the Soviet heat physicist Samson Kutateladze. Kutateladze died on January 15, 2025, aged 79.

Selected publications

*. *Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S
Infinitesimal Analysis.
Updated and revised translation of the 2001 Russian original. Translated by Kutateladze. Mathematics and its Applications, 544. Kluwer Academic Publishers, Dordrecht, 2002. *Kutateladze, S. S
Fundamentals of Functional Analysis.
Translated from the second (1995) edition. Kluwer Texts in the Mathematical Sciences, 12. Kluwer Academic Publishers Group, Dordrecht, 1996. *Kusraev, A. G.; Kutateladze, S. S
Subdifferentials: Theory and Applications.
Translated from the Russian. Mathematics and its Applications, 323. Kluwer Academic Publishers Group, Dordrecht, 1995. *Kutateladze, S. S.; Rubinov, A. M
Minkowski Duality, and Its Applications.
''Russian Math. Surveys,'' 1972, Vol. 27, No. 3, 137–191. *Kutateladze S.S
Choquet boundaries in K-spaces.
''Russian Math. Surveys'', 1975, Vol. 30, No. 4, 115–155. *Kutateladze S.S
Convex operators.
''Russian Math. Surveys'', 1979, Vol. 34, No. 1, 181–214. *Kutateladze S.S
On Grothendieck subspaces.
''Siberian Math. J.,'' 2005, Vol. 46. No. 3, 489–493. *Kutateladze S.S
What is Boolean valued analysis?
''Siberian Advances in Mathematics,'' 2007, Vol. 17, No. 2, 91–111. *Kutateladze S.S

'Siberian Electronic Mathematical Reports'', 2012, Vol. 9, A85–A100. *Kutateladze S.S
Harpedonaptae and abstract convexity.
''Journal of Applied and Industrial Mathematics'', 2008, Vol. 2, No. 2, 215–221. *Kutateladze S.S
The Farkas lemma revisited.
''Siberian Math. J.'', 2010, Vol. 51, No. 1, 78–87. *Kutateladze S.S
Leibnizian, Robinsonian, and Boolean valued monads
''Journal of Applied and Industrial Mathematics'', 2011, Vol. 5, No. 3, 365–373. *Kutateladze S.S
Nonstandard analysis: its creator and place.
''Journal of Applied and Industrial Mathematics'', 2013, Vol. 7, No. 3, 287–297.

Notes

References

External links

Webpage at the Sobolev Institute of Mathematics

''An Heir'', Pavel Golovkin's film

Semёn Kutateladze about science, innovation and education (in Russian)

Semёn Kutateladze about science, innovation and education (in English)

Profile at zbMATH
* {{DEFAULTSORT:Kutateladze, Semyon 1945 births 2025 deaths Novosibirsk State University alumni Mathematicians from Saint Petersburg 20th-century Russian mathematicians 21st-century Russian mathematicians Academic staff of Novosibirsk State University Functional analysts Operator theorists Mathematical logicians Mathematical economists Variational analysts Model theorists

Selected publications

See also

Notes

References

External links