# zbMATH — the first resource for mathematics

## Khatskevich, Victor A.

Compute Distance To:
 Author ID: khatskevich.victor-a Published as: Hatskevich, V. A.; Khatskevich, V.; Khatskevich, V. A.; Khatskevich, Victor; Khatskevich, Victor A.; Khatskevich, Viktor; Khatskevich, Viktor A.
 Documents Indexed: 94 Publications since 1971, including 1 Book
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#### Co-Authors

 18 single-authored 30 Senderov, Valerii A. 17 Shoikhet, David 13 Reich, Simeon 13 Shul’man, Viktor Semënovich 6 Shojkhet, D. M. 5 Azizov, Tomas Ya. 5 Ostrovskii, Mikhail Iosifovich 5 Zelenko, Leonid 3 Shmul’yan, Yu. L. 2 Elin, Mark 1 Alpay, Daniel Aron 1 Karelin, Irina I. 1 Khatskevich, Vladimir L. 1 Shuml’yan, Ya. L. 1 Sobolev, A. V.
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#### Serials

 6 Functional Analysis and its Applications 6 Integral Equations and Operator Theory 6 Funktsional’nyĭ Analiz 5 Siberian Mathematical Journal 4 Journal of Mathematical Sciences (New York) 4 Doklady Mathematics 3 Mathematical Notes 3 Akademiya Nauk Armyanskoĭ SSR. Doklady 3 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 3 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Studia Mathematica 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Functional Differential Equations 1 Bulletin of the Australian Mathematical Society 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Acta Scientiarum Mathematicarum 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Chinese Journal of Mathematics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics. Doklady 1 Complex Variables. Theory and Application 1 Dynamic Systems and Applications 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Electronic Journal of Differential Equations (EJDE) 1 Acta Mathematica Sinica. English Series 1 Far East Journal of Mathematical Sciences 1 International Journal of Applied Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 Operator Theory: Advances and Applications
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#### Fields

 85 Operator theory (47-XX) 49 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 6 Difference and functional equations (39-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH

56 Publications have been cited 125 times in 51 Documents Cited by Year
Abel-Schröder equations for linear fractional mappings and the Koenigs embedding problem. Zbl 1101.47322
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
2003
Über normierte $$J_\nu$$-Räume und einige Klassen linearer Operatoren in diesen Räumen. Zbl 0335.46016
Senderov, V. A.; Khatskevich, V. A.
1973
Schröder’s functional equation and the Koenigs embedding property. Zbl 1042.46512
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
2001
Linear fractional relations for Hilbert space operators. Zbl 1112.47011
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2006
The Kœnigs embedding problem for operator affine mappings. Zbl 1103.47048
Elin, Mark; Khatskevich, Victor
2005
Triangular plus-operators in Banach spaces: applications to the Kœnigs embedding problem. Zbl 1072.47035
Elin, Mark; Khatskevich, Victor
2005
Extremal problems for operators in Banach spaces arising in the study of linear operator pencils. Zbl 1081.47002
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2005
Linear fractional transformations: basic properties, applications to spaces of analytic functions and Schroeder’s equation. Zbl 1173.47307
Alpay, Daniel; Khatskevich, Victor
2000
Bistrict plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems. Zbl 0947.34047
Khatskevich, Victor; Zelenko, Leonid
2000
Invariant subspaces and properties of the spectra of plus-operators with a quasifocusing power in a Krein space. Zbl 0568.47028
Khatskevich, V. A.
1984
Quadratic inequalities for Hilbert space operators. Zbl 1133.47012
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2007
The Abel–Schröder equation for linear-fractional mappings of operator balls. Zbl 1055.47034
Khatskevich, V. A.; Senderov, V. A.
2001
Basic properties of linear fractional mappings of operator balls: Schroeder’s equation. Zbl 0972.47023
Khatskevich, V.; Senderov, V.
2000
Generalized fractional linear transformations: Convexity and compactness of the image and the pre-image; applications. Zbl 0952.47034
Khatskevich, V.
1999
The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations. Zbl 0868.34046
Khatskevich, Victor; Zelenko, Leonid
1997
Indefinite metrics and dichotomy of solutions of linear differential equations in Hilbert spaces. Zbl 0855.34068
Khatskevich, Victor; Zelenko, Leonid
1996
Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces. Zbl 0837.46033
Khatskevich, V.; Reich, S.; Shoikhet, D.
1995
Operator fractional-linear transformations: Convexity and compactness of image; applications. Zbl 0842.47022
Khatskevich, V.; Shul’man, V.
1995
On linear-fractional relations and images of angular operators. Zbl 1291.26002
Azizov, Tomas; Khatskevich, Viktor; Senderov, Valerii
2011
On operator sets generated by plus operators. Zbl 1321.47005
Khatskevich, V. A.; Senderov, V. A.
2010
Topological and geometric properties of indefinite spaces and automorphisms of the unit operator ball. Zbl 1235.47037
Khatskevich, V. A.; Senderov, V. A.
2010
A theorem on existence of invariant subspaces for $$J$$-binoncontractive operators. Zbl 1192.47035
Azizov, Tomas Ya.; Khatskevich, Victor A.
2010
Extreme fixed points of operator LFT, applications to the Königs problem. Zbl 1239.47028
Khatskevich, Victor A.; Senderov, Valerii A.
2009
The Koenigs embedding problem for linear fractional maps of operator balls. Zbl 1127.47310
Khatskevich, V. A.; Senderov, V. A.
2005
On the convexity, compactness, and nonemptiness of images and preimages of linear fractional operator relations. Zbl 1282.47004
Khatskevich, V. A.; Senderov, V. A.
2004
Abel-Schröder type equations for maps of operator balls. Zbl 1060.47041
Khatskevich, V. A.; Senderov, V. A.
2003
One-parameter semigroups of fractional-linear transformations. Zbl 0991.47025
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
2001
Asymptotic behavior of solutions of evolution equations and the construction of holomorphic retractions. Zbl 0901.46036
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
1998
Some global properties of fractional-linear transformations. Zbl 0832.47029
Khatskevich, Victor
1994
Fixed points of analytic operators in Banach space and their applications. Zbl 0548.47030
Khatskevich, V. A.; Shojkhet, D. M.
1984
Über eine Anwendung des Prinzips der Kontraktionsabbildungen in der Theorie der Operatoren in einem Raum mit indefiniter Metrik. Zbl 0395.47026
Khatskevich, V. A.
1978
Koenigs problem and extreme fixed points. Zbl 1272.47048
Senderov, V. A.; Khatskevich, V. A.
2010
The Königs problem and extreme fixed points. Zbl 1192.47037
Khatskevich, V. A.; Senderov, V. A.
2010
On the structure of semigroups of operators acting in spaces with indefinite metric. Zbl 1171.47033
Khatskevich, V. A.; Senderov, V. A.
2009
Quadratic operator inequalities and linear-fractional relations. Zbl 1155.47020
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2007
Operator pencils of the second order and linear fractional relations. Zbl 1148.47028
Khatskevich, Victor; Karelin, Irina I.; Zelenko, Leonid
2006
Plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems with discrete time. Zbl 1113.47024
Khatskevich, V.; Zelenko, L.
2006
On operator matrices generating linear fractional maps of operator balls. Zbl 1071.47039
Khatskevich, V. A.; Senderov, V. A.; Shulman, V. S.
2004
Complex dynamical systems on bounded symmetric domains. Zbl 0890.34051
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
1997
Global implicit function and fixed point theorems for holomorphic mappings and semigroups. Zbl 0843.58007
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
1996
Fixed points of holomorphic mappings and semigroups in Banach spaces: Regularity and uniqueness. Zbl 0838.46037
Khatskevich, V.; Reich, S.; Shoikhet, D.
1996
Ergodic type theorems for nonlinear semigroups with holomorphic generators. Zbl 0863.47053
Khatskevich, V.; Reich, S.; Shoikhet, D.
1995
On strong plus-operators and on operators conjugate to them. Zbl 0830.47028
Senderov, V. A.; Khatskevich, V. A.
1994
One version of implicit function theorem for holomorphic mappings. Zbl 0813.58005
Khatskevich, Victor; Shoikhet, David
1994
Differentiable operators and nonlinear equations. Translated from the Russian by Mircea Martin. Zbl 0807.46047
Khatskevich, Victor; Shoiykhet, David
1994
Powers of plus-operators. Zbl 0778.47027
Khatskevich, V. A.; Senderov, V. A.
1992
Preorders and equicalences on the operator sphere. Zbl 0787.47019
Khatskevich, V. A.; Shuml’yan, Ya. L.; Shul’man, V. S.
1991
On subcorrect and correct pairs of operators in Hilbert spaces. Zbl 0748.47013
Senderov, V. A.; Hatskevich, V. A.
1990
Generalized Poincaré metric on the operator ball. Zbl 0563.46006
Khatskevich, V. A.
1983
Definite invariant subspaces and the structure of the spectrum of a focusing plus-operator. Zbl 0539.47024
Sobolev, A. V.; Khatskevich, V. A.
1981
On the symmetry of properties of the plus-operator and its conjugate. Zbl 0484.47015
Khatskevich, V. A.
1980
Spaces with two norms and certain classes of linear operators in these spaces. Zbl 0409.46022
Senderov, V. A.; Khatskevich, V. A.
1979
An application of the contraction mapping principle in the theory of operators in an indefinite metric space. Zbl 0405.47022
Khatskevich, V. A.
1978
Über Räume mit zwei Normen und einige Klassen linearer Operatoren in diesen Räumen. Zbl 0382.46011
Senderov, V. A.; Khatskevich, V. A.
1978
On J-semiunitary operators in Hilbertian J-spaces. Zbl 0324.47024
Khatskevich, V. A.
1975
Über die Plus-Operatoren im Hilbertschen J-Raum. Zbl 0324.47023
Khatskevich, V. A.
1974
On linear-fractional relations and images of angular operators. Zbl 1291.26002
Azizov, Tomas; Khatskevich, Viktor; Senderov, Valerii
2011
On operator sets generated by plus operators. Zbl 1321.47005
Khatskevich, V. A.; Senderov, V. A.
2010
Topological and geometric properties of indefinite spaces and automorphisms of the unit operator ball. Zbl 1235.47037
Khatskevich, V. A.; Senderov, V. A.
2010
A theorem on existence of invariant subspaces for $$J$$-binoncontractive operators. Zbl 1192.47035
Azizov, Tomas Ya.; Khatskevich, Victor A.
2010
Koenigs problem and extreme fixed points. Zbl 1272.47048
Senderov, V. A.; Khatskevich, V. A.
2010
The Königs problem and extreme fixed points. Zbl 1192.47037
Khatskevich, V. A.; Senderov, V. A.
2010
Extreme fixed points of operator LFT, applications to the Königs problem. Zbl 1239.47028
Khatskevich, Victor A.; Senderov, Valerii A.
2009
On the structure of semigroups of operators acting in spaces with indefinite metric. Zbl 1171.47033
Khatskevich, V. A.; Senderov, V. A.
2009
Quadratic inequalities for Hilbert space operators. Zbl 1133.47012
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2007
Quadratic operator inequalities and linear-fractional relations. Zbl 1155.47020
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2007
Linear fractional relations for Hilbert space operators. Zbl 1112.47011
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2006
Operator pencils of the second order and linear fractional relations. Zbl 1148.47028
Khatskevich, Victor; Karelin, Irina I.; Zelenko, Leonid
2006
Plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems with discrete time. Zbl 1113.47024
Khatskevich, V.; Zelenko, L.
2006
The Kœnigs embedding problem for operator affine mappings. Zbl 1103.47048
Elin, Mark; Khatskevich, Victor
2005
Triangular plus-operators in Banach spaces: applications to the Kœnigs embedding problem. Zbl 1072.47035
Elin, Mark; Khatskevich, Victor
2005
Extremal problems for operators in Banach spaces arising in the study of linear operator pencils. Zbl 1081.47002
Khatskevich, V. A.; Ostrovskii, M. I.; Shulman, V. S.
2005
The Koenigs embedding problem for linear fractional maps of operator balls. Zbl 1127.47310
Khatskevich, V. A.; Senderov, V. A.
2005
On the convexity, compactness, and nonemptiness of images and preimages of linear fractional operator relations. Zbl 1282.47004
Khatskevich, V. A.; Senderov, V. A.
2004
On operator matrices generating linear fractional maps of operator balls. Zbl 1071.47039
Khatskevich, V. A.; Senderov, V. A.; Shulman, V. S.
2004
Abel-Schröder equations for linear fractional mappings and the Koenigs embedding problem. Zbl 1101.47322
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
2003
Abel-Schröder type equations for maps of operator balls. Zbl 1060.47041
Khatskevich, V. A.; Senderov, V. A.
2003
Schröder’s functional equation and the Koenigs embedding property. Zbl 1042.46512
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
2001
The Abel–Schröder equation for linear-fractional mappings of operator balls. Zbl 1055.47034
Khatskevich, V. A.; Senderov, V. A.
2001
One-parameter semigroups of fractional-linear transformations. Zbl 0991.47025
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
2001
Linear fractional transformations: basic properties, applications to spaces of analytic functions and Schroeder’s equation. Zbl 1173.47307
Alpay, Daniel; Khatskevich, Victor
2000
Bistrict plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems. Zbl 0947.34047
Khatskevich, Victor; Zelenko, Leonid
2000
Basic properties of linear fractional mappings of operator balls: Schroeder’s equation. Zbl 0972.47023
Khatskevich, V.; Senderov, V.
2000
Generalized fractional linear transformations: Convexity and compactness of the image and the pre-image; applications. Zbl 0952.47034
Khatskevich, V.
1999
Asymptotic behavior of solutions of evolution equations and the construction of holomorphic retractions. Zbl 0901.46036
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
1998
The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations. Zbl 0868.34046
Khatskevich, Victor; Zelenko, Leonid
1997
Complex dynamical systems on bounded symmetric domains. Zbl 0890.34051
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
1997
Indefinite metrics and dichotomy of solutions of linear differential equations in Hilbert spaces. Zbl 0855.34068
Khatskevich, Victor; Zelenko, Leonid
1996
Global implicit function and fixed point theorems for holomorphic mappings and semigroups. Zbl 0843.58007
Khatskevich, Victor; Reich, Simeon; Shoikhet, David
1996
Fixed points of holomorphic mappings and semigroups in Banach spaces: Regularity and uniqueness. Zbl 0838.46037
Khatskevich, V.; Reich, S.; Shoikhet, D.
1996
Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces. Zbl 0837.46033
Khatskevich, V.; Reich, S.; Shoikhet, D.
1995
Operator fractional-linear transformations: Convexity and compactness of image; applications. Zbl 0842.47022
Khatskevich, V.; Shul’man, V.
1995
Ergodic type theorems for nonlinear semigroups with holomorphic generators. Zbl 0863.47053
Khatskevich, V.; Reich, S.; Shoikhet, D.
1995
Some global properties of fractional-linear transformations. Zbl 0832.47029
Khatskevich, Victor
1994
On strong plus-operators and on operators conjugate to them. Zbl 0830.47028
Senderov, V. A.; Khatskevich, V. A.
1994
One version of implicit function theorem for holomorphic mappings. Zbl 0813.58005
Khatskevich, Victor; Shoikhet, David
1994
Differentiable operators and nonlinear equations. Translated from the Russian by Mircea Martin. Zbl 0807.46047
Khatskevich, Victor; Shoiykhet, David
1994
Powers of plus-operators. Zbl 0778.47027
Khatskevich, V. A.; Senderov, V. A.
1992
Preorders and equicalences on the operator sphere. Zbl 0787.47019
Khatskevich, V. A.; Shuml’yan, Ya. L.; Shul’man, V. S.
1991
On subcorrect and correct pairs of operators in Hilbert spaces. Zbl 0748.47013
Senderov, V. A.; Hatskevich, V. A.
1990
Invariant subspaces and properties of the spectra of plus-operators with a quasifocusing power in a Krein space. Zbl 0568.47028
Khatskevich, V. A.
1984
Fixed points of analytic operators in Banach space and their applications. Zbl 0548.47030
Khatskevich, V. A.; Shojkhet, D. M.
1984
Generalized Poincaré metric on the operator ball. Zbl 0563.46006
Khatskevich, V. A.
1983
Definite invariant subspaces and the structure of the spectrum of a focusing plus-operator. Zbl 0539.47024
Sobolev, A. V.; Khatskevich, V. A.
1981
On the symmetry of properties of the plus-operator and its conjugate. Zbl 0484.47015
Khatskevich, V. A.
1980
Spaces with two norms and certain classes of linear operators in these spaces. Zbl 0409.46022
Senderov, V. A.; Khatskevich, V. A.
1979
Über eine Anwendung des Prinzips der Kontraktionsabbildungen in der Theorie der Operatoren in einem Raum mit indefiniter Metrik. Zbl 0395.47026
Khatskevich, V. A.
1978
An application of the contraction mapping principle in the theory of operators in an indefinite metric space. Zbl 0405.47022
Khatskevich, V. A.
1978
Über Räume mit zwei Normen und einige Klassen linearer Operatoren in diesen Räumen. Zbl 0382.46011
Senderov, V. A.; Khatskevich, V. A.
1978
On J-semiunitary operators in Hilbertian J-spaces. Zbl 0324.47024
Khatskevich, V. A.
1975
Über die Plus-Operatoren im Hilbertschen J-Raum. Zbl 0324.47023
Khatskevich, V. A.
1974
Über normierte $$J_\nu$$-Räume und einige Klassen linearer Operatoren in diesen Räumen. Zbl 0335.46016
Senderov, V. A.; Khatskevich, V. A.
1973
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#### Cited by 50 Authors

 16 Khatskevich, Victor A. 9 Senderov, Valerii A. 8 Shoikhet, David 7 Reich, Simeon 6 Azizov, Tomas Ya. 6 Bracci, Filippo 3 Elin, Mark 3 Ostrovskii, Mikhail Iosifovich 3 Tian, Yongge 2 Contreras, Manuel D. 2 Díaz-Madrigal, Santiago 2 Levenshtein, Marina 2 Penkov, Ivan B. 2 Shojkhet, D. M. 2 Shul’man, Viktor Semënovich 1 Alpay, Daniel Aron 1 Arosio, Leandro 1 Barreira, Luis Manuel 1 Barsukov, Andrey I. 1 Ben-Artzi, Asher 1 Chang, Ching-Lueh 1 Dijksma, Aad 1 Ge, Shuzhi Sam 1 Gentili, Graziano 1 Gil’, Michael Iosif 1 Gohberg, Israel 1 Goryainov, Viktor V. 1 Iokhvidov, I. S. 1 Kaptanoglu, H. Turgay 1 Khatskevich, Vladimir L. 1 Khoroshavin, S. A. 1 Kozitsky, Yuri V. 1 Kubrusly, Carlos S. 1 Liao, Liangwen 1 Liu, Junming 1 Liu, Yonghui 1 Lyuu, Yuh-Dauh 1 Manin, Yuri Ivanovich 1 Ostrovska, Sofiya 1 Stachó, László L. 1 Tarkhanov, Nikolai N. 1 ter Horst, Sanne 1 Valitskij, Yu. N. 1 Valls Anglés, Cláudia 1 Vieira, Paulo César M. 1 Voronov, Alexander A. 1 Xiong, Chengji 1 Yang, Chung-Chun 1 Zaslavski, Alexander Yakovlevich 1 Zhang, Weinian
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#### Cited in 26 Serials

 6 Journal of Mathematical Analysis and Applications 5 Integral Equations and Operator Theory 5 Journal of Mathematical Sciences (New York) 3 Functional Analysis and its Applications 3 Journal of Soviet Mathematics 3 Siberian Mathematical Journal 3 Computational Methods and Function Theory 2 Mathematical Notes 2 Advances in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 1 Journal d’Analyse Mathématique 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Glasgow Mathematical Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Linear Algebra and its Applications 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 20 Fields

 35 Operator theory (47-XX) 17 Functional analysis (46-XX) 9 Several complex variables and analytic spaces (32-XX) 6 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX)