# zbMATH — the first resource for mathematics

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 Author ID: schmudgen.konrad Published as: Schmuedgen, Konrad; Schmüdgen, K.; Schmüdgen, Konrad Homepage: http://www.math.uni-leipzig.de/MI/schmuedgen/ External Links: MGP · Wikidata · GND
 Documents Indexed: 109 Publications since 1975, including 8 Books
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#### Co-Authors

 76 single-authored 5 Schüler, Axel 5 Wagner, Elmar 4 Savchuk, Yuri 3 Heckenberger, István 2 di Dio, Philipp J. 2 Friedrich, Jürgen 2 Malamud, Mark M. 2 Ôta, Schôichi 2 Putinar, Mihai 1 Apel, Joachim 1 Cimprič, Jaka 1 Curto, Raúl Enrique 1 de Snoo, Hendrik S. V. 1 Gazeau, Jean-Pierre 1 Gebhardt, René 1 Gesztesy, Fritz 1 Horzela, Andrzej 1 Klimyk, Anatoliy Ul’yanovich 1 Moslehian, Mohammad Sal 1 Mourrain, Bernard 1 Ostrovskyĭ, Vasyl L. 1 Stochel, Jan
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#### Serials

 6 Journal of Functional Analysis 6 Mathematische Nachrichten 5 Communications in Mathematical Physics 5 Reports on Mathematical Physics 5 Journal of Operator Theory 4 Letters in Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Integral Equations and Operator Theory 4 Journal für die Reine und Angewandte Mathematik 4 Proceedings of the American Mathematical Society 3 Journal of Geometry and Physics 3 Mathematische Annalen 3 Zeitschrift für Analysis und ihre Anwendungen 3 Seminar Sophus Lie 3 Wissenschaftliche Zeitschrift der Karl-Marx-Universität Leipzig, Mathematisch-Naturwissenschaftliche Reihe 3 Graduate Texts in Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Arkiv för Matematik 2 Acta Scientiarum Mathematicarum 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 International Journal of Mathematics 2 Algebras and Representation Theory 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Transactions of the American Mathematical Society 1 Linear Algebra and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Lie Theory 1 Documenta Mathematica 1 Doklady Mathematics 1 Methods of Functional Analysis and Topology 1 Czechoslovak Journal of Physics 1 Operator Theory: Advances and Applications 1 Advances in Operator Theory 1 Texts and Monographs in Physics
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#### Fields

 61 Operator theory (47-XX) 46 Functional analysis (46-XX) 28 Nonassociative rings and algebras (17-XX) 26 Quantum theory (81-XX) 13 Associative rings and algebras (16-XX) 13 Integral transforms, operational calculus (44-XX) 12 Algebraic geometry (14-XX) 10 Global analysis, analysis on manifolds (58-XX) 5 Number theory (11-XX) 5 Topological groups, Lie groups (22-XX) 3 Partial differential equations (35-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

92 Publications have been cited 1,209 times in 938 Documents Cited by Year
Quantum groups and their representations. Zbl 0891.17010
Klimyk, Anatoli; Schmüdgen, Konrad
1997
Unbounded self-adjoint operators on Hilbert space. Zbl 1257.47001
2012
The $$K$$-moment problem for compact semi-algebraic sets. Zbl 0744.44008
1991
Unbounded operator algebras and representation theory. Lizenzausg. d. Akademie Verl., Berlin. Zbl 0697.47048
1989
Noncommutative real algebraic geometry – some basic concepts and first ideas. Zbl 1158.13313
2009
An example of a positive polynomial which is not a sum of squares of polynomials. A positive, but not strongly positive functional. Zbl 0424.46041
1979
The moment problem. Zbl 1383.44004
2017
On the moment problem of closed semi-algebraic sets. Zbl 1047.47012
2003
On the Heisenberg commutation relation. I. Zbl 0507.47010
1983
Dirac operator and a twisted cyclic cocycle on the standard Podleś quantum sphere. Zbl 1067.46070
Schmüdgen, Konrad; Wagner, Elmar
2004
On the Heisenberg commutation relation. II. Zbl 0557.47023
1983
On trace representation of linear functionals on unbounded operator algebras. Zbl 0398.47027
1978
Integrable operator representations of $$\mathbb{R}_ q^ 2$$, $$X_{q,\gamma}$$ and $$SL_ q(2,\mathbb{R})$$. Zbl 0822.46064
1994
A strict Positivstellensatz for the Weyl algebra. Zbl 1137.47030
2005
Über $$LMC^*$$-Algebren. Zbl 0315.46042
1975
On some classes of unbounded operators. Zbl 0683.47031
Ôta, Schôichi; Schmüdgen, Konrad
1989
Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions. Zbl 1256.35030
Malamud, Mark M.; Schmüdgen, Konrad
2012
Commutator representations of differential calculi on the quantum group $$SU_q(2)$$. Zbl 1016.17014
1999
Classification of three-dimensional covariant differential calculi on Podles’ quantum spheres and on related spaces. Zbl 0811.17019
Apel, Joachim; Schmüdgen, Konrad
1994
A formally normal operator having no normal extension. Zbl 0613.47002
1985
The order structure of topological $$^*$$-algebras of unbounded operators. I. Zbl 0318.46067
1975
Classification of bicovariant differential calculi on the quantum groups SL$$_q(n+1)$$ and Sp$$_q(2n)$$. Zbl 0933.17007
Heckenberger, I.; Schmüdgen, K.
1998
Positive cones in enveloping algebras. Zbl 0424.46040
1978
Multivariate determinateness. Zbl 1166.44004
Putinar, Mihai; Schmüdgen, Konrad
2008
n-positivity of unbounded *-representations. Zbl 0701.47025
Friedrich, Jürgen; Schmüdgen, Konrad
1989
On domains of powers of closed symmetric operators. Zbl 0507.47009
1983
Representations of crossed product algebras of Podleś quantum spheres. Zbl 1152.46058
Schmüdgen, Konrad; Wagner, Elmar
2007
A strict Positivstellensatz for enveloping algebras. Zbl 1131.14061
2006
On well-behaved unbounded representations of $$*$$-algebras. Zbl 1019.47050
2002
Levi-Civita connections on the quantum groups $$SL_ q(N), O_ q(N)$$ and $$Sp_ q(N)$$. Zbl 0888.17007
Heckenberger, István; Schmüdgen, Konrad
1997
Operator representations of $$\mathcal{U}_ q(sl_ 2(\mathbb{R}))$$. Zbl 0862.17012
1996
Classification of bicovariant differential calculi on quantum groups. Zbl 0846.17017
Schmüdgen, Konrad; Schüler, Axel
1995
Classification of bicovariant differential calculi on quantum groups of type $$A, B, C$$ and $$D$$. Zbl 0835.17012
Schmüdgen, Konrad; Schüler, Axel
1995
On topologization of unbounded operator algebras. Zbl 0475.47030
1980
Unbounded induced representations of $$\ast$$-algebras. Zbl 1410.16037
Savchuk, Yurii; Schmüdgen, Konrad
2013
Hilbert space representations of cross product algebras. Zbl 1029.46110
Schmüdgen, Konrad; Wagner, Elmar
2003
On determinacy notions for the two dimensional moment problem. Zbl 0762.44004
1991
On commuting unbounded self-adjoint operators. I. Zbl 0576.47014
1984
Positivstellensätze for algebras of matrices. Zbl 1250.15034
Savchuk, Yurii; Schmüdgen, Konrad
2012
Left-covariant differential calculi on $$\mathrm{SL}_q(2)$$ and $$\mathrm{SL}_q(3)$$. Zbl 0879.17004
Schmüdgen, Konrad; Schüler, Axel
1996
Covariant differential calculi on quantum spaces and on quantum groups. Zbl 0795.17019
Schmüdgen, Konrad; Schüler, Axel
1993
The multidimensional truncated moment problem: atoms, determinacy, and core variety. Zbl 1451.44007
di Dio, Philipp J.; Schmüdgen, Konrad
2018
Operator representations of $$\mathbb{R}_ q^ 2$$. Zbl 0804.47049
1992
Non-commutative moment problems. Zbl 0712.22010
1991
Non-commutative covariant differential calculi on quantum spaces and quantum groups. Zbl 0760.17013
1991
On a generalization of the classical moment problem. Zbl 0642.44005
1987
On commuting unbounded self-adjoint operators. IV. Zbl 0649.47023
1986
Graded and filtrated topological $${}^*$$-algebras. II: The closure of the positive cone. Zbl 0545.46031
1984
Graded and filtrated topological *-algebras. I: Graded normal topologies. Zbl 0553.46046
1980
Uniform topologies on enveloping algebras. Zbl 0457.47038
1980
Lokal multiplikativ konvexe $$Op^*$$-Algebren. Zbl 0392.46032
1978
The multi-dimensional truncated moment problem: maximal masses. Zbl 1363.44005
2015
On $$q$$-normal operators and the quantum complex plane. Zbl 1318.14003
Cimprič, Jaka; Savchuk, Yurii; Schmüdgen, Konrad
2014
Algebras of fractions and strict Positivstellensätze for $$*$$-algebras. Zbl 1209.47034
2010
Examples of twisted cyclic cocycles from covariant differential calculi. Zbl 1059.58007
Schmüdgen, Konrad; Wagner, Elmar
2003
Some selfadjoint $$2\times 2$$ operator matrices associated with closed operators. Zbl 1032.47014
Ôta, Schôichi; Schmüdgen, K.
2003
Operator representations of the real twisted canonical commutation relations. Zbl 0805.47039
1994
Spaces of continuous sesquilinear forms associated with unbounded operator algebras. Zbl 0675.47047
Schmüdgen, K.
1988
Strongly commuting selfadjoint operators and commutants of unbounded operator algebras. Zbl 0652.47027
1988
On commuting unbounded self-adjoint operators. II. Zbl 0576.47015
Schmüdgen, Konrad; Friedrich, J.
1984
A proof of a theorem on trace representation of strongly positive linear functionals on Op*-algebras. Zbl 0443.47044
1979
Uniform topologies and strong operator topologies of polynomial algebras and on the algebra of CCR. Zbl 0355.46053
1976
The multidimensional truncated moment problem: Carathéodory numbers. Zbl 1404.44013
di Dio, Philipp J.; Schmüdgen, Konrad
2018
A noncommutative version of the Fejér-Riesz theorem. Zbl 1189.47022
Savchuk, Yuriĭ; Schmüdgen, Konrad
2010
The quantum quarter plane and the real quantum plane. Zbl 1050.58006
2002
A polar decomposition for holomorphic functions on a strip. Zbl 1020.30025
2001
Operator representations of a $$q$$-deformed Heisenberg algebra. Zbl 0978.81047
1999
Left-covariant differential calculi on $$SL_ q(N)$$. Zbl 0882.58005
Schmüdgen, Konrad; Schüler, Axel
1997
An operator-theoretic approach to a cocycle problem in the complex plane. Zbl 0867.47020
1995
Commutative and non-commutative moment problems. Zbl 0821.47013
Schmüdgen, K.
1992
Unbounded commutants and intertwining spaces of unbounded symmetric operators and *-representations. Zbl 0624.47016
1987
On commuting unbounded self-adjoint operators. III. Zbl 0649.47022
1986
Topological realizations of Calkin algebras on Fréchet domains of unbounded operator algebras. Zbl 0632.47036
Schmüdgen, K.
1986
On restrictions of unbounded symmetric operators. Zbl 0545.47015
1984
Two theorems about topologies on countably generated Op*-algebras. Zbl 0459.47032
1980
Lokal multiplikativ konvexe $$Op^*$$-Algebren. Zbl 0319.46035
1978
Mathematical work of Franciszek Hugon Szafraniec and its impacts. Zbl 1444.01024
Curto, Raúl E.; Gazeau, Jean-Pierre; Horzela, Andrzej; Moslehian, Mohammad Sal; Putinar, Mihai; Schmüdgen, Konrad; de Snoo, Henk; Stochel, Jan
2020
On a theorem of Z. Sebestyén and Zs. Tarcsay. Zbl 1438.47040
Gesztesy, Fritz; Schmüdgen, Konrad
2019
On the infinite-dimensional moment problem. Zbl 1425.44004
2018
Flat extensions in $$\ast$$-algebras. Zbl 1364.46047
Mourrain, Bernard; Schmüdgen, Konrad
2016
Transition probabilities of positive functionals on $$*$$-algebras. Zbl 1399.46099
2015
Around Hilbert’s 17th problem. Zbl 1268.14052
2012
Hilbert space representations of cross product algebras. II. Zbl 1160.46331
Schmüdgen, Konrad; Wagner, Elmar
2006
Commutator representations of covariant differential calculi on quantum groups. Zbl 0996.58004
2002
On coquasitriangular bialgebras. Zbl 0946.16027
1999
On the construction of covariant differential calculi on quantum homogeneous spaces. Zbl 0947.17008
1999
Bicovariant differential calculi on $$\text{SL}_q(N)$$ and $$\text{Sp}_q(N)$$. Zbl 0947.58005
Heckenberger, I.; Schmüdgen, K.
1997
An introduction to the theory of quantum matrix groups. Zbl 0735.17011
1991
A note on commuting unbounded self-adjoint operators affiliated to properly infinite von Neumann algebras. II. Zbl 0649.47021
1986
On a class of representations of Heisenberg commutation relation PQ-QP=- iI. Zbl 0528.47018
1983
Perturbations of selfadjoint operators with point spectra by restrictions and selfadjoint extensions. Zbl 0443.47024
1981
Trace functionals on unbounded operator algebras. Zbl 0427.47030
1978
Mathematical work of Franciszek Hugon Szafraniec and its impacts. Zbl 1444.01024
Curto, Raúl E.; Gazeau, Jean-Pierre; Horzela, Andrzej; Moslehian, Mohammad Sal; Putinar, Mihai; Schmüdgen, Konrad; de Snoo, Henk; Stochel, Jan
2020
On a theorem of Z. Sebestyén and Zs. Tarcsay. Zbl 1438.47040
Gesztesy, Fritz; Schmüdgen, Konrad
2019
The multidimensional truncated moment problem: atoms, determinacy, and core variety. Zbl 1451.44007
di Dio, Philipp J.; Schmüdgen, Konrad
2018
The multidimensional truncated moment problem: Carathéodory numbers. Zbl 1404.44013
di Dio, Philipp J.; Schmüdgen, Konrad
2018
On the infinite-dimensional moment problem. Zbl 1425.44004
2018
The moment problem. Zbl 1383.44004
2017
Flat extensions in $$\ast$$-algebras. Zbl 1364.46047
Mourrain, Bernard; Schmüdgen, Konrad
2016
The multi-dimensional truncated moment problem: maximal masses. Zbl 1363.44005
2015
Transition probabilities of positive functionals on $$*$$-algebras. Zbl 1399.46099
2015
On $$q$$-normal operators and the quantum complex plane. Zbl 1318.14003
Cimprič, Jaka; Savchuk, Yurii; Schmüdgen, Konrad
2014
Unbounded induced representations of $$\ast$$-algebras. Zbl 1410.16037
Savchuk, Yurii; Schmüdgen, Konrad
2013
Unbounded self-adjoint operators on Hilbert space. Zbl 1257.47001
2012
Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions. Zbl 1256.35030
Malamud, Mark M.; Schmüdgen, Konrad
2012
Positivstellensätze for algebras of matrices. Zbl 1250.15034
Savchuk, Yurii; Schmüdgen, Konrad
2012
Around Hilbert’s 17th problem. Zbl 1268.14052
2012
Algebras of fractions and strict Positivstellensätze for $$*$$-algebras. Zbl 1209.47034
2010
A noncommutative version of the Fejér-Riesz theorem. Zbl 1189.47022
Savchuk, Yuriĭ; Schmüdgen, Konrad
2010
Noncommutative real algebraic geometry – some basic concepts and first ideas. Zbl 1158.13313
2009
Multivariate determinateness. Zbl 1166.44004
Putinar, Mihai; Schmüdgen, Konrad
2008
Representations of crossed product algebras of Podleś quantum spheres. Zbl 1152.46058
Schmüdgen, Konrad; Wagner, Elmar
2007
A strict Positivstellensatz for enveloping algebras. Zbl 1131.14061
2006
Hilbert space representations of cross product algebras. II. Zbl 1160.46331
Schmüdgen, Konrad; Wagner, Elmar
2006
A strict Positivstellensatz for the Weyl algebra. Zbl 1137.47030
2005
Dirac operator and a twisted cyclic cocycle on the standard Podleś quantum sphere. Zbl 1067.46070
Schmüdgen, Konrad; Wagner, Elmar
2004
On the moment problem of closed semi-algebraic sets. Zbl 1047.47012
2003
Hilbert space representations of cross product algebras. Zbl 1029.46110
Schmüdgen, Konrad; Wagner, Elmar
2003
Examples of twisted cyclic cocycles from covariant differential calculi. Zbl 1059.58007
Schmüdgen, Konrad; Wagner, Elmar
2003
Some selfadjoint $$2\times 2$$ operator matrices associated with closed operators. Zbl 1032.47014
Ôta, Schôichi; Schmüdgen, K.
2003
On well-behaved unbounded representations of $$*$$-algebras. Zbl 1019.47050
2002
The quantum quarter plane and the real quantum plane. Zbl 1050.58006
2002
Commutator representations of covariant differential calculi on quantum groups. Zbl 0996.58004
2002
A polar decomposition for holomorphic functions on a strip. Zbl 1020.30025
2001
Commutator representations of differential calculi on the quantum group $$SU_q(2)$$. Zbl 1016.17014
1999
Operator representations of a $$q$$-deformed Heisenberg algebra. Zbl 0978.81047
1999
On coquasitriangular bialgebras. Zbl 0946.16027
1999
On the construction of covariant differential calculi on quantum homogeneous spaces. Zbl 0947.17008
1999
Classification of bicovariant differential calculi on the quantum groups SL$$_q(n+1)$$ and Sp$$_q(2n)$$. Zbl 0933.17007
Heckenberger, I.; Schmüdgen, K.
1998
Quantum groups and their representations. Zbl 0891.17010
Klimyk, Anatoli; Schmüdgen, Konrad
1997
Levi-Civita connections on the quantum groups $$SL_ q(N), O_ q(N)$$ and $$Sp_ q(N)$$. Zbl 0888.17007
Heckenberger, István; Schmüdgen, Konrad
1997
Left-covariant differential calculi on $$SL_ q(N)$$. Zbl 0882.58005
Schmüdgen, Konrad; Schüler, Axel
1997
Bicovariant differential calculi on $$\text{SL}_q(N)$$ and $$\text{Sp}_q(N)$$. Zbl 0947.58005
Heckenberger, I.; Schmüdgen, K.
1997
Operator representations of $$\mathcal{U}_ q(sl_ 2(\mathbb{R}))$$. Zbl 0862.17012
1996
Left-covariant differential calculi on $$\mathrm{SL}_q(2)$$ and $$\mathrm{SL}_q(3)$$. Zbl 0879.17004
Schmüdgen, Konrad; Schüler, Axel
1996
Classification of bicovariant differential calculi on quantum groups. Zbl 0846.17017
Schmüdgen, Konrad; Schüler, Axel
1995
Classification of bicovariant differential calculi on quantum groups of type $$A, B, C$$ and $$D$$. Zbl 0835.17012
Schmüdgen, Konrad; Schüler, Axel
1995
An operator-theoretic approach to a cocycle problem in the complex plane. Zbl 0867.47020
1995
Integrable operator representations of $$\mathbb{R}_ q^ 2$$, $$X_{q,\gamma}$$ and $$SL_ q(2,\mathbb{R})$$. Zbl 0822.46064
1994
Classification of three-dimensional covariant differential calculi on Podles’ quantum spheres and on related spaces. Zbl 0811.17019
Apel, Joachim; Schmüdgen, Konrad
1994
Operator representations of the real twisted canonical commutation relations. Zbl 0805.47039
1994
Covariant differential calculi on quantum spaces and on quantum groups. Zbl 0795.17019
Schmüdgen, Konrad; Schüler, Axel
1993
Operator representations of $$\mathbb{R}_ q^ 2$$. Zbl 0804.47049
1992
Commutative and non-commutative moment problems. Zbl 0821.47013
Schmüdgen, K.
1992
The $$K$$-moment problem for compact semi-algebraic sets. Zbl 0744.44008
1991
On determinacy notions for the two dimensional moment problem. Zbl 0762.44004
1991
Non-commutative moment problems. Zbl 0712.22010
1991
Non-commutative covariant differential calculi on quantum spaces and quantum groups. Zbl 0760.17013
1991
An introduction to the theory of quantum matrix groups. Zbl 0735.17011
1991
Unbounded operator algebras and representation theory. Lizenzausg. d. Akademie Verl., Berlin. Zbl 0697.47048
1989
On some classes of unbounded operators. Zbl 0683.47031
Ôta, Schôichi; Schmüdgen, Konrad
1989
n-positivity of unbounded *-representations. Zbl 0701.47025
Friedrich, Jürgen; Schmüdgen, Konrad
1989
Spaces of continuous sesquilinear forms associated with unbounded operator algebras. Zbl 0675.47047
Schmüdgen, K.
1988
Strongly commuting selfadjoint operators and commutants of unbounded operator algebras. Zbl 0652.47027
1988
On a generalization of the classical moment problem. Zbl 0642.44005
1987
Unbounded commutants and intertwining spaces of unbounded symmetric operators and *-representations. Zbl 0624.47016
1987
On commuting unbounded self-adjoint operators. IV. Zbl 0649.47023
1986
On commuting unbounded self-adjoint operators. III. Zbl 0649.47022
1986
Topological realizations of Calkin algebras on Fréchet domains of unbounded operator algebras. Zbl 0632.47036
Schmüdgen, K.
1986
A note on commuting unbounded self-adjoint operators affiliated to properly infinite von Neumann algebras. II. Zbl 0649.47021
1986
A formally normal operator having no normal extension. Zbl 0613.47002
1985
On commuting unbounded self-adjoint operators. I. Zbl 0576.47014
1984
Graded and filtrated topological $${}^*$$-algebras. II: The closure of the positive cone. Zbl 0545.46031
1984
On commuting unbounded self-adjoint operators. II. Zbl 0576.47015
Schmüdgen, Konrad; Friedrich, J.
1984
On restrictions of unbounded symmetric operators. Zbl 0545.47015
1984
On the Heisenberg commutation relation. I. Zbl 0507.47010
1983
On the Heisenberg commutation relation. II. Zbl 0557.47023
1983
On domains of powers of closed symmetric operators. Zbl 0507.47009
1983
On a class of representations of Heisenberg commutation relation PQ-QP=- iI. Zbl 0528.47018
1983
Perturbations of selfadjoint operators with point spectra by restrictions and selfadjoint extensions. Zbl 0443.47024
1981
On topologization of unbounded operator algebras. Zbl 0475.47030
1980
Graded and filtrated topological *-algebras. I: Graded normal topologies. Zbl 0553.46046
1980
Uniform topologies on enveloping algebras. Zbl 0457.47038
1980
Two theorems about topologies on countably generated Op*-algebras. Zbl 0459.47032
1980
An example of a positive polynomial which is not a sum of squares of polynomials. A positive, but not strongly positive functional. Zbl 0424.46041
1979
A proof of a theorem on trace representation of strongly positive linear functionals on Op*-algebras. Zbl 0443.47044
1979
On trace representation of linear functionals on unbounded operator algebras. Zbl 0398.47027
1978
Positive cones in enveloping algebras. Zbl 0424.46040
1978
Lokal multiplikativ konvexe $$Op^*$$-Algebren. Zbl 0392.46032
1978
Lokal multiplikativ konvexe $$Op^*$$-Algebren. Zbl 0319.46035
1978
Trace functionals on unbounded operator algebras. Zbl 0427.47030
1978
Uniform topologies and strong operator topologies of polynomial algebras and on the algebra of CCR. Zbl 0355.46053
1976
Über $$LMC^*$$-Algebren. Zbl 0315.46042
1975
The order structure of topological $$^*$$-algebras of unbounded operators. I. Zbl 0318.46067
1975
all top 5

#### Cited by 989 Authors

 37 Schmüdgen, Konrad 30 Inoue, Atsushi 27 Trapani, Camillo 19 Stochel, Jan 16 Cimprič, Jaka 15 Lasserre, Jean-Bernard 13 Landi, Giovanni 13 Netzer, Tim 12 Antoine, Jean-Pierre 12 Putinar, Mihai 11 Fragoulopoulou, Maria 11 Kuhlmann, Salma 11 Marshall, Murray Angus 11 Nie, Jiawang 10 Arai, Asao 10 Bagarello, Fabio 9 Scheiderer, Claus 8 Helton, John William 8 Jabłoński, Zenon Jan 8 Jung, Il Bong 8 Krähmer, Ulrich 8 Matassa, Marco 8 Ramesh, Golla 7 Behrndt, Jussi 7 Bichon, Julien 7 Chirvăsitu, Alexandru 7 Fakhri, Hossein 7 Fialkow, Lawrence A. 7 Heckenberger, István 7 Jørgensen, Palle E. T. 7 Lotoreichik, Vladimir 7 Malamud, Mark M. 7 Michelangeli, Alessandro 7 Mortad, Mohammed Hichem 7 Schweighofer, Markus 7 Wagner, Elmar 7 Zampini, Alessandro 6 Curto, Raúl Enrique 6 Hofmann, Gerald 6 Hu, Naihong 6 Klep, Igor 6 Kolb, Stefan 6 Kürsten, Klaus-Detlef 6 Maack Bisgaard, Torben 6 McCullough, Scott A. 6 Moretti, Valter 6 Ogi, Hidekazu 6 Shi, Yuming 6 Szafraniec, Franciszek Hugon 6 Waldmann, Stefan 6 Zalar, Aljaž 5 Bhatt, Subhash J. 5 Budzyński, Piotr 5 Corso, Rosario 5 De Commer, Kenny 5 Hadfield, Tom 5 Neidhardt, Hagen 5 Ó Buachalla, Réamonn 5 Savchuk, Yuri 4 Bhowmick, Jyotishman 4 Dabrowski, Ludwik 4 D’Andrea, Francesco 4 de Klerk, Etienne 4 Emsiz, Erdal 4 Fioresi, Rita 4 Hartwig, Jonas T. 4 Infusino, Maria 4 Klimyk, Anatoliy Ul’yanovich 4 Laurent, Monique 4 Lledó, Fernando 4 Matsuzawa, Yasumichi 4 Neshveyev, Sergey V. 4 Pankrashkin, Konstantin 4 Pérez-Pardo, Juan Manuel 4 Phạm Tiên So’n 4 Posilicano, Andrea 4 Powers, Victoria Ann 4 Saurabh, Bipul 4 Schüler, Axel 4 Sitarz, Andrzej 4 Sukochev, Fedor Anatol’evich 4 Thom, Andreas Berthold 4 van Diejen, Jan Felipe 4 Veselić, Ivan 4 Yoo, Seonguk 4 Zanin, Dmitriy V. 3 Albeverio, Sergio A. 3 Bellomonte, Giorgia 3 Çelik, Salih 3 Chakraborty, Partha Sarathi 3 Cichoń, Dariusz 3 Di Bella, Salvatore 3 di Dio, Philipp J. 3 Exner, Pavel 3 Gallone, Matteo 3 Gesztesy, Fritz 3 Ghasemi, Mehdi 3 Goswami, Debashish 3 Hennings, Mark A. 3 Ibort, Alberto ...and 889 more Authors
all top 5

#### Cited in 209 Serials

 54 Journal of Mathematical Physics 51 Journal of Mathematical Analysis and Applications 49 Journal of Functional Analysis 45 Journal of Algebra 35 Communications in Mathematical Physics 26 Letters in Mathematical Physics 26 Journal of Geometry and Physics 26 Proceedings of the American Mathematical Society 26 Transactions of the American Mathematical Society 25 Journal of Pure and Applied Algebra 19 Reports on Mathematical Physics 18 Integral Equations and Operator Theory 18 Publications of the Research Institute for Mathematical Sciences, Kyoto University 17 Advances in Mathematics 15 Reviews in Mathematical Physics 14 Mathematical Programming. Series A. Series B 12 Complex Analysis and Operator Theory 11 Communications in Algebra 11 Linear Algebra and its Applications 11 Algebras and Representation Theory 11 Annales Henri Poincaré 9 SIAM Journal on Optimization 9 Positivity 8 Nuclear Physics. B 8 Mathematische Zeitschrift 7 Theoretical and Mathematical Physics 7 Journal of Global Optimization 6 Israel Journal of Mathematics 6 Journal of Differential Equations 6 Manuscripta Mathematica 6 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Annales de l’Institut Fourier 5 Archiv der Mathematik 5 Mathematische Annalen 5 Mathematische Nachrichten 5 Expositiones Mathematicae 5 Advances in Applied Clifford Algebras 5 Bulletin des Sciences Mathématiques 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Advances in Operator Theory 4 Physics Letters. A 4 Rocky Mountain Journal of Mathematics 4 Ukrainian Mathematical Journal 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Approximation Theory 4 Journal of Complexity 4 Journal of Theoretical Probability 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Indagationes Mathematicae. New Series 4 Journal of Mathematical Sciences (New York) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Geometric Methods in Modern Physics 4 Science China. Mathematics 3 Linear and Multilinear Algebra 3 Czechoslovak Mathematical Journal 3 Journal of Optimization Theory and Applications 3 Journal für die Reine und Angewandte Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Operations Research Letters 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Opuscula Mathematica 3 The Journal of Fourier Analysis and Applications 3 Optimization Letters 3 Journal of Noncommutative Geometry 3 Journal of $$K$$-Theory 3 Analysis and Mathematical Physics 2 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Archive for Rational Mechanics and Analysis 2 International Journal of Theoretical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Arkiv för Matematik 2 Functional Analysis and its Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Topology and its Applications 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Statistics & Probability Letters 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 Probability Theory and Related Fields 2 $$K$$-Theory 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 European Journal of Operational Research 2 Potential Analysis 2 Computational Optimization and Applications 2 Applied Categorical Structures 2 Calculus of Variations and Partial Differential Equations 2 Russian Journal of Mathematical Physics 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry ...and 109 more Serials
all top 5

#### Cited in 60 Fields

 325 Operator theory (47-XX) 262 Quantum theory (81-XX) 227 Functional analysis (46-XX) 177 Nonassociative rings and algebras (17-XX) 144 Associative rings and algebras (16-XX) 119 Algebraic geometry (14-XX) 96 Global analysis, analysis on manifolds (58-XX) 74 Operations research, mathematical programming (90-XX) 70 Partial differential equations (35-XX) 70 Integral transforms, operational calculus (44-XX) 56 Commutative algebra (13-XX) 52 Group theory and generalizations (20-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 30 Number theory (11-XX) 30 Probability theory and stochastic processes (60-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 27 Special functions (33-XX) 26 Topological groups, Lie groups (22-XX) 26 Numerical analysis (65-XX) 24 Differential geometry (53-XX) 23 Functions of a complex variable (30-XX) 19 Combinatorics (05-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Category theory; homological algebra (18-XX) 17 Field theory and polynomials (12-XX) 15 Abstract harmonic analysis (43-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Several complex variables and analytic spaces (32-XX) 12 $$K$$-theory (19-XX) 12 Ordinary differential equations (34-XX) 11 Real functions (26-XX) 10 Manifolds and cell complexes (57-XX) 10 Relativity and gravitational theory (83-XX) 9 Mathematical logic and foundations (03-XX) 9 Measure and integration (28-XX) 9 Difference and functional equations (39-XX) 9 Computer science (68-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Convex and discrete geometry (52-XX) 7 Algebraic topology (55-XX) 6 Approximations and expansions (41-XX) 6 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Statistics (62-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

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