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## Christensen, Erik

Compute Distance To:
 Author ID: christensen.erik Published as: Christensen, Erik Homepage: http://web.math.ku.dk/~echris/ External Links: ResearchGate
 Documents Indexed: 56 Publications since 1972, including 1 Book
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#### Co-Authors

 25 single-authored 18 Sinclair, Allan M. 10 Smith, Roger R. 7 White, Stuart Andrew 5 Ivan, Cristina 3 Cameron, Jan M. 3 Pop, Florin 3 Wiggins, Alan D. 2 Winter, Wilhelm 1 Antonescu, Cristina 1 Choi, Man-Duen 1 Effros, Edward George 1 Evans, David E. 1 Lapidus, Michel L. 1 Pedersen, Gert Kjærgård 1 Peligrad, Costel 1 Schrohe, Elmar 1 Wang, Liguang
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#### Serials

 5 Journal of Functional Analysis 3 Communications in Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Mathematica Scandinavica 2 Acta Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Journal of Operator Theory 2 Proceedings of the National Academy of Sciences of the United States of America 1 Advances in Mathematics 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Journal of Noncommutative Geometry 1 Münster Journal of Mathematics
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#### Fields

 52 Functional analysis (46-XX) 13 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 Measure and integration (28-XX) 3 Quantum theory (81-XX) 2 $$K$$-theory (19-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

46 Publications have been cited 866 times in 642 Documents Cited by Year
Subalgebras of a finite algebra. Zbl 0393.46049
Christensen, Erik
1979
Extensions of derivations. II. Zbl 0503.47032
Christensen, Erik
1982
Derivations of nest algebras. Zbl 0356.46057
Christensen, Erik
1977
Representations of completely bounded multilinear operators. Zbl 0622.46040
Christensen, Erik; Sinclair, Allan M.
1987
Cohomology of operator algebras and quantum dynamical semigroups. Zbl 0448.46040
Christensen, Erik; Evans, David E.
1979
Completely bounded multilinear maps and $$C^ *$$-algebraic cohomology. Zbl 0646.46052
Christensen, Erik; Effros, Edward G.; Sinclair, Allan
1987
Spectral triples for AF $$C^{\ast}$$-algebras and metrics on the Cantor set. Zbl 1111.46052
Christensen, Erik; Ivan, Cristina
2006
Measures on projections and physical states. Zbl 0507.46052
Christensen, Erik
1982
Perturbations of operator algebras. II. Zbl 0395.46045
Christensen, Erik
1977
Near inclusions of C*-algebras. Zbl 0469.46044
Christensen, Erik
1980
Dirac operators and spectral triples for some fractal sets built on curves. Zbl 1133.28002
Christensen, Erik; Ivan, Cristina; Lapidus, Michel L.
2008
A survey of completely bounded operators. Zbl 0698.46044
Christensen, Erik; Sinclair, Allan M.
1989
Perturbation of operator algebras. Zbl 0366.46050
Christensen, Erik
1977
On non self-adjoint representations of C*-algebras. Zbl 0498.46042
Christensen, Erik
1981
On von Neumann algebras which are complemented subspaces of $$B(H)$$. Zbl 0817.46059
Christensen, Erik; Sinclair, Allan M.
1994
Extension of derivations. Zbl 0367.46059
Christensen, Erik
1978
Perturbations of type I von Neumann algebras. Zbl 0319.46052
Christensen, Erik
1975
Completely order isomorphic and close $$C^*$$-algebras need not be $${}^*$$-isomorphic. Zbl 0541.46046
Choi, Man-Duen; Christensen, Erik
1983
Module mappings into von Neumann algebras and injectivity. Zbl 0958.46030
Christensen, Erik; Sinclair, Allan M.
1995
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
2012
Metrics on group $$C^{*}$$-algebras and a non-commutative Arzelà-Ascoli theorem. Zbl 1063.46059
Antonescu, Cristina; Christensen, Erik
2004
Finite von Neumann algebra factors with property $$\Gamma$$. Zbl 1020.46017
Christensen, Erik
2001
On the vanishing of $$H^ n(\mathcal A,\mathcal A^*)$$ for certain $$C^*$$- algebras. Zbl 0685.46044
Christensen, Erik; Sinclair, Allan M.
1989
Perturbations of nuclear $$C^*$$-algebras. Zbl 1252.46047
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
2012
Sums of two-dimensional spectral triples. Zbl 1155.58003
Christensen, Erik; Ivan, Cristina
2007
Perturbations of $$C^*$$-algebraic invariants. Zbl 1205.46036
Christensen, Erik; Sinclair, Allan; Smith, Roger R.; White, Stuart
2010
On the cohomology groups of certain finite von Neumann algebras. Zbl 0887.46043
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
1997
Generators of semigroups of completely positive maps. Zbl 0389.47022
Christensen, Erik
1978
The spatial isomorphism problem for close separable nuclear $$C^*$$-algebras. Zbl 1206.46045
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
2010
Hochschild cohomology of factors with property $$\Gamma$$. Zbl 1048.46051
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
2003
Completely bounded isomorphisms of injective von Neuman algebras. Zbl 0651.46059
Christensen, Erik; Sinclair, Allan
1989
Similarities of $$\text{II}_1$$ factors with property $$\Gamma$$. Zbl 1111.46306
Christensen, Erik
1986
Commutants of nest algebras modulo the compact operators. Zbl 0419.47017
1980
Non commutative integration for monotone sequentially closed C$$^*$$- algebras. Zbl 0252.46064
Christensen, Erik
1972
Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D.
2014
On invertibility preserving linear mappings, simultaneous triangularization and property $$L$$. Zbl 0948.15013
Christensen, Erik
1999
Two generalizations of the Gleason-Kahane-Żelazko theorem. Zbl 0868.46038
Christensen, Erik
1997
Extensions and degenerations of spectral triples. Zbl 1188.46045
Christensen, Erik; Ivan, Cristina
2009
A cohomological characterization of approximately finite dimensional von Neumann algebras. Zbl 0912.46060
Christensen, Erik; Sinclair, Allan M.
1997
Derivations and their relation to perturbations of operator algebras. Zbl 0535.46035
Christensen, Erik
1982
On the complete boundedness of the Schur block product. Zbl 1442.15041
Christensen, Erik
2019
On weakly $$D$$-differentiable operators. Zbl 1359.37147
Christensen, Erik
2016
A remark on the similarity and perturbation problems. Zbl 1300.46045
Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D.
2013
Properly infinite $$AW^*$$-algebras are monotone sequentially complete. Zbl 0521.46052
Christensen, Erik; Pedersen, Gert K.
1984
Von Neumann algebras as complemented subspaces of $$B(\mathcal H)$$. Zbl 1320.46044
Christensen, Erik; Wang, Liguang
2014
On some problems studied by R. V. Kadison. Zbl 1044.46045
Christensen, Erik
2003
On the complete boundedness of the Schur block product. Zbl 1442.15041
Christensen, Erik
2019
On weakly $$D$$-differentiable operators. Zbl 1359.37147
Christensen, Erik
2016
Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D.
2014
Von Neumann algebras as complemented subspaces of $$B(\mathcal H)$$. Zbl 1320.46044
Christensen, Erik; Wang, Liguang
2014
A remark on the similarity and perturbation problems. Zbl 1300.46045
Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D.
2013
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
2012
Perturbations of nuclear $$C^*$$-algebras. Zbl 1252.46047
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
2012
Perturbations of $$C^*$$-algebraic invariants. Zbl 1205.46036
Christensen, Erik; Sinclair, Allan; Smith, Roger R.; White, Stuart
2010
The spatial isomorphism problem for close separable nuclear $$C^*$$-algebras. Zbl 1206.46045
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
2010
Extensions and degenerations of spectral triples. Zbl 1188.46045
Christensen, Erik; Ivan, Cristina
2009
Dirac operators and spectral triples for some fractal sets built on curves. Zbl 1133.28002
Christensen, Erik; Ivan, Cristina; Lapidus, Michel L.
2008
Sums of two-dimensional spectral triples. Zbl 1155.58003
Christensen, Erik; Ivan, Cristina
2007
Spectral triples for AF $$C^{\ast}$$-algebras and metrics on the Cantor set. Zbl 1111.46052
Christensen, Erik; Ivan, Cristina
2006
Metrics on group $$C^{*}$$-algebras and a non-commutative Arzelà-Ascoli theorem. Zbl 1063.46059
Antonescu, Cristina; Christensen, Erik
2004
Hochschild cohomology of factors with property $$\Gamma$$. Zbl 1048.46051
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
2003
On some problems studied by R. V. Kadison. Zbl 1044.46045
Christensen, Erik
2003
Finite von Neumann algebra factors with property $$\Gamma$$. Zbl 1020.46017
Christensen, Erik
2001
On invertibility preserving linear mappings, simultaneous triangularization and property $$L$$. Zbl 0948.15013
Christensen, Erik
1999
On the cohomology groups of certain finite von Neumann algebras. Zbl 0887.46043
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
1997
Two generalizations of the Gleason-Kahane-Żelazko theorem. Zbl 0868.46038
Christensen, Erik
1997
A cohomological characterization of approximately finite dimensional von Neumann algebras. Zbl 0912.46060
Christensen, Erik; Sinclair, Allan M.
1997
Module mappings into von Neumann algebras and injectivity. Zbl 0958.46030
Christensen, Erik; Sinclair, Allan M.
1995
On von Neumann algebras which are complemented subspaces of $$B(H)$$. Zbl 0817.46059
Christensen, Erik; Sinclair, Allan M.
1994
A survey of completely bounded operators. Zbl 0698.46044
Christensen, Erik; Sinclair, Allan M.
1989
On the vanishing of $$H^ n(\mathcal A,\mathcal A^*)$$ for certain $$C^*$$- algebras. Zbl 0685.46044
Christensen, Erik; Sinclair, Allan M.
1989
Completely bounded isomorphisms of injective von Neuman algebras. Zbl 0651.46059
Christensen, Erik; Sinclair, Allan
1989
Representations of completely bounded multilinear operators. Zbl 0622.46040
Christensen, Erik; Sinclair, Allan M.
1987
Completely bounded multilinear maps and $$C^ *$$-algebraic cohomology. Zbl 0646.46052
Christensen, Erik; Effros, Edward G.; Sinclair, Allan
1987
Similarities of $$\text{II}_1$$ factors with property $$\Gamma$$. Zbl 1111.46306
Christensen, Erik
1986
Properly infinite $$AW^*$$-algebras are monotone sequentially complete. Zbl 0521.46052
Christensen, Erik; Pedersen, Gert K.
1984
Completely order isomorphic and close $$C^*$$-algebras need not be $${}^*$$-isomorphic. Zbl 0541.46046
Choi, Man-Duen; Christensen, Erik
1983
Extensions of derivations. II. Zbl 0503.47032
Christensen, Erik
1982
Measures on projections and physical states. Zbl 0507.46052
Christensen, Erik
1982
Derivations and their relation to perturbations of operator algebras. Zbl 0535.46035
Christensen, Erik
1982
On non self-adjoint representations of C*-algebras. Zbl 0498.46042
Christensen, Erik
1981
Near inclusions of C*-algebras. Zbl 0469.46044
Christensen, Erik
1980
Commutants of nest algebras modulo the compact operators. Zbl 0419.47017
1980
Subalgebras of a finite algebra. Zbl 0393.46049
Christensen, Erik
1979
Cohomology of operator algebras and quantum dynamical semigroups. Zbl 0448.46040
Christensen, Erik; Evans, David E.
1979
Extension of derivations. Zbl 0367.46059
Christensen, Erik
1978
Generators of semigroups of completely positive maps. Zbl 0389.47022
Christensen, Erik
1978
Derivations of nest algebras. Zbl 0356.46057
Christensen, Erik
1977
Perturbations of operator algebras. II. Zbl 0395.46045
Christensen, Erik
1977
Perturbation of operator algebras. Zbl 0366.46050
Christensen, Erik
1977
Perturbations of type I von Neumann algebras. Zbl 0319.46052
Christensen, Erik
1975
Non commutative integration for monotone sequentially closed C$$^*$$- algebras. Zbl 0252.46064
Christensen, Erik
1972
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#### Cited by 759 Authors

 18 Christensen, Erik 17 Smith, Roger R. 13 Blecher, David P. 13 Sinclair, Allan M. 10 Hou, Jinchuan 8 Heo, Jaeseong 8 Le Merdy, Christian 8 White, Stuart Andrew 7 Aboudi, Jacob 7 Davidson, Kenneth R. 7 Pisier, Gilles 7 Popa, Sorin Teodor 7 Wright, John David Maitland 6 Bunce, Leslie J. 6 Hamhalter, Jan 6 Julien, Antoine 6 Pop, Florin 6 Qi, Xiaofei 6 Skeide, Michael 5 Crouch, Steven L. 5 Gibiansky, Leonid V. 5 Goswami, Debashish 5 Hadwin, Donald W. 5 Kamiński, Marcin Marek 5 Lapidus, Michel L. 5 Li, Jiankui 5 Mogilevskaya, Sofia G. 5 Ruan, Zhongjin 5 Skalski, Adam G. 5 Todorov, Ivan G. 4 Bhowmick, Jyotishman 4 Cheng, Changjun 4 Evans, David E. 4 Gilfeather, Frank L. 4 Guido, Daniele 4 Haagerup, Uffe Valentin 4 Isola, Tommaso 4 Liebscher, Volkmar 4 Magajna, Bojan 4 Paulsen, Vern Ival 4 Pham, Duc Chinh 4 Savinien, Jean 4 Taghavi Jelodar, Ali 4 Torquato, Sal 4 Turowska, Lyudmila B. 4 Wang, Liguang 4 Zhang, Jianhua 4 Zhang, Nenghui 3 Akbarov, Surkay D. 3 Benveniste, Yakov 3 Bhat, B. V. Rajarama 3 Bratteli, Ola 3 Buryachenko, Valeriy A. 3 Cameron, Jan M. 3 Chinh, Pham Duc 3 Cipriani, Fabio 3 Effros, Edward George 3 Farsi, Carla 3 Gillaspy, Elizabeth 3 Han, Deguang 3 Helemskii, Alexander Ya. 3 Kang, Sooran 3 Kishimoto, Akitaka 3 Larson, David Royal 3 Leo, Perry H. 3 Long, Botao 3 Lykova, Zinaida A. 3 Marcolli, Matilde 3 Martinetti, Pierre 3 Matvejchuk, Marjan Stepanovich 3 Niestegge, Gerd 3 Packer, Judith A. 3 Pitts, David R. 3 Razeghi, Mehran 3 Roydor, Jean 3 Samei, Ebrahim 3 Samuel, Tony 3 Selvadurai, A. Patrick S. 3 Šemrl, Peter 3 Shul’man, Viktor Semënovich 3 Spencer, Anthony James Merrill 3 Wu, Wei 3 Ylinen, Kari 3 Zacharias, Joachim 2 An, Runling 2 Andrianov, Igor V. 2 Androulakis, George 2 Ara, Pere 2 Atkinson, Colin 2 Barchielli, Alberto 2 Beltzer, Abraham I. 2 Cao, Huaixin 2 Chang, Mouhsiung 2 Chao, Ching-Kong 2 Chen, Yichao 2 Coda, Humberto Breves 2 Costara, Constantin 2 Crann, Jason 2 Danishevskiĭ, Vladislav Valentinovich 2 Darvish, Vahid ...and 659 more Authors
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#### Cited in 147 Serials

 85 Journal of Functional Analysis 37 Journal of the Mechanics and Physics of Solids 28 International Journal of Engineering Science 26 Proceedings of the American Mathematical Society 21 Acta Mechanica 19 International Journal of Solids and Structures 15 Linear Algebra and its Applications 13 Communications in Mathematical Physics 13 International Journal of Mathematics 12 Journal of Mathematical Analysis and Applications 11 Acta Mathematica Sinica. English Series 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Mathematical Physics 10 Advances in Mathematics 10 Integral Equations and Operator Theory 10 Transactions of the American Mathematical Society 9 Engineering Analysis with Boundary Elements 9 European Journal of Mechanics. A. Solids 8 International Journal of Theoretical Physics 8 Linear and Multilinear Algebra 8 Wave Motion 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Applied Mathematics and Mechanics. (English Edition) 8 Journal of Elasticity 6 Israel Journal of Mathematics 6 Rocky Mountain Journal of Mathematics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Soviet Mathematics 6 Foundations of Physics 5 Journal of Geometry and Physics 5 Mathematische Annalen 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Computational Mechanics 5 Applied Mathematical Modelling 5 Proceedings of the National Academy of Sciences of the United States of America 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Journal of Noncommutative Geometry 4 Bulletin of the Australian Mathematical Society 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Ergodic Theory and Dynamical Systems 4 Mediterranean Journal of Mathematics 3 Journal of Computational Physics 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Studia Mathematica 3 Annales de l’Institut Fourier 3 Applied Mathematics and Computation 3 Archive of Applied Mechanics 3 Mathematical Physics, Analysis and Geometry 2 Communications in Algebra 2 Ingenieur-Archiv 2 Indian Journal of Pure & Applied Mathematics 2 Theoretical and Mathematical Physics 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Acta Mathematica 2 Journal of Differential Equations 2 Journal of Pure and Applied Algebra 2 Mathematica Scandinavica 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Stochastic Analysis and Applications 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Applied Mechanics 2 Journal of Mathematical Sciences (New York) 2 Mathematical Problems in Engineering 2 Journal of Shanghai University 2 Annales Henri Poincaré 2 International Journal of Geometric Methods in Modern Physics 2 Banach Journal of Mathematical Analysis 2 Advances in Mathematical Physics 2 Science China. Mathematics 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Mathematics 1 General Relativity and Gravitation 1 International Journal of Heat and Mass Transfer 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Automatica 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Mathematische Zeitschrift ...and 47 more Serials
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#### Cited in 50 Fields

 334 Functional analysis (46-XX) 206 Mechanics of deformable solids (74-XX) 164 Operator theory (47-XX) 69 Quantum theory (81-XX) 28 Global analysis, analysis on manifolds (58-XX) 26 Associative rings and algebras (16-XX) 20 Topological groups, Lie groups (22-XX) 17 Abstract harmonic analysis (43-XX) 16 Probability theory and stochastic processes (60-XX) 15 Measure and integration (28-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Fluid mechanics (76-XX) 10 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Mathematical logic and foundations (03-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Nonassociative rings and algebras (17-XX) 8 Differential geometry (53-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Group theory and generalizations (20-XX) 6 Number theory (11-XX) 6 $$K$$-theory (19-XX) 6 Integral equations (45-XX) 5 Category theory; homological algebra (18-XX) 5 Convex and discrete geometry (52-XX) 5 Numerical analysis (65-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 4 Relativity and gravitational theory (83-XX) 3 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX)