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Author ID: christensen.erik Recent zbMATH articles by "Christensen, Erik"
Published as: Christensen, Erik
Homepage: http://web.math.ku.dk/~echris/
External Links: Google Scholar · ResearchGate
Documents Indexed: 57 Publications since 1972, including 1 Book
1 Further Contribution
Co-Authors: 17 Co-Authors with 30 Joint Publications
370 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 806 times in 555 Documents Cited by Year
Subalgebras of a finite algebra. Zbl 0393.46049
Christensen, Erik
74
1979
Derivations of nest algebras. Zbl 0356.46057
Christensen, Erik
64
1977
Extensions of derivations. II. Zbl 0503.47032
Christensen, Erik
61
1982
Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology. Zbl 0646.46052
Christensen, Erik; Effros, Edward G.; Sinclair, Allan
49
1987
Representations of completely bounded multilinear operators. Zbl 0622.46040
Christensen, Erik; Sinclair, Allan M.
48
1987
Cohomology of operator algebras and quantum dynamical semigroups. Zbl 0448.46040
Christensen, Erik; Evans, David E.
46
1979
Spectral triples for AF \(C^{\ast}\)-algebras and metrics on the Cantor set. Zbl 1111.46052
Christensen, Erik; Ivan, Cristina
41
2006
Measures on projections and physical states. Zbl 0507.46052
Christensen, Erik
37
1982
Dirac operators and spectral triples for some fractal sets built on curves. Zbl 1133.28002
Christensen, Erik; Ivan, Cristina; Lapidus, Michel L.
30
2008
Perturbations of operator algebras. II. Zbl 0395.46045
Christensen, Erik
29
1977
Near inclusions of C*-algebras. Zbl 0469.46044
Christensen, Erik
26
1980
A survey of completely bounded operators. Zbl 0698.46044
Christensen, Erik; Sinclair, Allan M.
22
1989
Perturbation of operator algebras. Zbl 0366.46050
Christensen, Erik
21
1977
Extension of derivations. Zbl 0367.46059
Christensen, Erik
18
1978
Perturbations of type I von Neumann algebras. Zbl 0319.46052
Christensen, Erik
18
1975
On von Neumann algebras which are complemented subspaces of \(B(H)\). Zbl 0817.46059
Christensen, Erik; Sinclair, Allan M.
17
1994
On non self-adjoint representations of C*-algebras. Zbl 0498.46042
Christensen, Erik
17
1981
Completely order isomorphic and close \(C^*\)-algebras need not be \({}^*\)-isomorphic. Zbl 0541.46046
Choi, Man-Duen; Christensen, Erik
14
1983
Perturbations of nuclear \(C^*\)-algebras. Zbl 1252.46047
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
14
2012
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
13
2012
Sums of two-dimensional spectral triples. Zbl 1155.58003
Christensen, Erik; Ivan, Cristina
13
2007
Metrics on group \(C^{*}\)-algebras and a non-commutative Arzelà-Ascoli theorem. Zbl 1063.46059
Antonescu, Cristina; Christensen, Erik
12
2004
Finite von Neumann algebra factors with property \(\Gamma\). Zbl 1020.46017
Christensen, Erik
11
2001
Module mappings into von Neumann algebras and injectivity. Zbl 0958.46030
Christensen, Erik; Sinclair, Allan M.
11
1995
On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras. Zbl 0685.46044
Christensen, Erik; Sinclair, Allan M.
9
1989
Hochschild cohomology of factors with property \(\Gamma\). Zbl 1048.46051
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
9
2003
Perturbations of \(C^*\)-algebraic invariants. Zbl 1205.46036
Christensen, Erik; Sinclair, Allan; Smith, Roger R.; White, Stuart
9
2010
On the cohomology groups of certain finite von Neumann algebras. Zbl 0887.46043
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
8
1997
Completely bounded isomorphisms of injective von Neuman algebras. Zbl 0651.46059
Christensen, Erik; Sinclair, Allan
7
1989
Generators of semigroups of completely positive maps. Zbl 0389.47022
Christensen, Erik
6
1978
Similarities of \(\text{II}_1\) factors with property \(\Gamma\). Zbl 1111.46306
Christensen, Erik
5
1986
Non commutative integration for monotone sequentially closed C\(^*\)- algebras. Zbl 0252.46064
Christensen, Erik
5
1972
Kadison-Kastler stable factors. Zbl 1314.46069
Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D.
5
2014
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
5
2010
Extensions and degenerations of spectral triples. Zbl 1188.46045
Christensen, Erik; Ivan, Cristina
4
2009
Two generalizations of the Gleason-Kahane-Żelazko theorem. Zbl 0868.46038
Christensen, Erik
4
1997
Commutants of nest algebras modulo the compact operators. Zbl 0419.47017
Christensen, Erik; Peligrad, Costel
4
1980
On invertibility preserving linear mappings, simultaneous triangularization and property \(L\). Zbl 0948.15013
Christensen, Erik
4
1999
On the complete boundedness of the Schur block product. Zbl 1442.15041
Christensen, Erik
3
2019
Derivations and their relation to perturbations of operator algebras. Zbl 0535.46035
Christensen, Erik
3
1982
A cohomological characterization of approximately finite dimensional von Neumann algebras. Zbl 0912.46060
Christensen, Erik; Sinclair, Allan M.
3
1997
Properly infinite \(AW^*\)-algebras are monotone sequentially complete. Zbl 0521.46052
Christensen, Erik; Pedersen, Gert K.
2
1984
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.
2
2013
On weakly \(D\)-differentiable operators. Zbl 1359.37147
Christensen, Erik
2
2016
On some problems studied by R. V. Kadison. Zbl 1044.46045
Christensen, Erik
1
2003
Von Neumann algebras as complemented subspaces of \(B(\mathcal H)\). Zbl 1320.46044
Christensen, Erik; Wang, Liguang
1
2014
The \(C^*\)-algebra of generalized compacts associated with a von Neumann algebra. Zbl 0663.46051
Christensen, Erik
1
1987
Higher weak derivatives and reflexive algebras of operators. Zbl 1366.46053
Christensen, Erik
1
2016
On the complete boundedness of the Schur block product. Zbl 1442.15041
Christensen, Erik
3
2019
On weakly \(D\)-differentiable operators. Zbl 1359.37147
Christensen, Erik
2
2016
Higher weak derivatives and reflexive algebras of operators. Zbl 1366.46053
Christensen, Erik
1
2016
Kadison-Kastler stable factors. Zbl 1314.46069
Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D.
5
2014
Von Neumann algebras as complemented subspaces of \(B(\mathcal H)\). Zbl 1320.46044
Christensen, Erik; Wang, Liguang
1
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.
2
2013
Perturbations of nuclear \(C^*\)-algebras. Zbl 1252.46047
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
14
2012
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
13
2012
Perturbations of \(C^*\)-algebraic invariants. Zbl 1205.46036
Christensen, Erik; Sinclair, Allan; Smith, Roger R.; White, Stuart
9
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
5
2010
Extensions and degenerations of spectral triples. Zbl 1188.46045
Christensen, Erik; Ivan, Cristina
4
2009
Dirac operators and spectral triples for some fractal sets built on curves. Zbl 1133.28002
Christensen, Erik; Ivan, Cristina; Lapidus, Michel L.
30
2008
Sums of two-dimensional spectral triples. Zbl 1155.58003
Christensen, Erik; Ivan, Cristina
13
2007
Spectral triples for AF \(C^{\ast}\)-algebras and metrics on the Cantor set. Zbl 1111.46052
Christensen, Erik; Ivan, Cristina
41
2006
Metrics on group \(C^{*}\)-algebras and a non-commutative Arzelà-Ascoli theorem. Zbl 1063.46059
Antonescu, Cristina; Christensen, Erik
12
2004
Hochschild cohomology of factors with property \(\Gamma\). Zbl 1048.46051
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
9
2003
On some problems studied by R. V. Kadison. Zbl 1044.46045
Christensen, Erik
1
2003
Finite von Neumann algebra factors with property \(\Gamma\). Zbl 1020.46017
Christensen, Erik
11
2001
On invertibility preserving linear mappings, simultaneous triangularization and property \(L\). Zbl 0948.15013
Christensen, Erik
4
1999
On the cohomology groups of certain finite von Neumann algebras. Zbl 0887.46043
Christensen, Erik; Pop, Florin; Sinclair, Allan M.; Smith, Roger R.
8
1997
Two generalizations of the Gleason-Kahane-Żelazko theorem. Zbl 0868.46038
Christensen, Erik
4
1997
A cohomological characterization of approximately finite dimensional von Neumann algebras. Zbl 0912.46060
Christensen, Erik; Sinclair, Allan M.
3
1997
Module mappings into von Neumann algebras and injectivity. Zbl 0958.46030
Christensen, Erik; Sinclair, Allan M.
11
1995
On von Neumann algebras which are complemented subspaces of \(B(H)\). Zbl 0817.46059
Christensen, Erik; Sinclair, Allan M.
17
1994
A survey of completely bounded operators. Zbl 0698.46044
Christensen, Erik; Sinclair, Allan M.
22
1989
On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras. Zbl 0685.46044
Christensen, Erik; Sinclair, Allan M.
9
1989
Completely bounded isomorphisms of injective von Neuman algebras. Zbl 0651.46059
Christensen, Erik; Sinclair, Allan
7
1989
Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology. Zbl 0646.46052
Christensen, Erik; Effros, Edward G.; Sinclair, Allan
49
1987
Representations of completely bounded multilinear operators. Zbl 0622.46040
Christensen, Erik; Sinclair, Allan M.
48
1987
The \(C^*\)-algebra of generalized compacts associated with a von Neumann algebra. Zbl 0663.46051
Christensen, Erik
1
1987
Similarities of \(\text{II}_1\) factors with property \(\Gamma\). Zbl 1111.46306
Christensen, Erik
5
1986
Properly infinite \(AW^*\)-algebras are monotone sequentially complete. Zbl 0521.46052
Christensen, Erik; Pedersen, Gert K.
2
1984
Completely order isomorphic and close \(C^*\)-algebras need not be \({}^*\)-isomorphic. Zbl 0541.46046
Choi, Man-Duen; Christensen, Erik
14
1983
Extensions of derivations. II. Zbl 0503.47032
Christensen, Erik
61
1982
Measures on projections and physical states. Zbl 0507.46052
Christensen, Erik
37
1982
Derivations and their relation to perturbations of operator algebras. Zbl 0535.46035
Christensen, Erik
3
1982
On non self-adjoint representations of C*-algebras. Zbl 0498.46042
Christensen, Erik
17
1981
Near inclusions of C*-algebras. Zbl 0469.46044
Christensen, Erik
26
1980
Commutants of nest algebras modulo the compact operators. Zbl 0419.47017
Christensen, Erik; Peligrad, Costel
4
1980
Subalgebras of a finite algebra. Zbl 0393.46049
Christensen, Erik
74
1979
Cohomology of operator algebras and quantum dynamical semigroups. Zbl 0448.46040
Christensen, Erik; Evans, David E.
46
1979
Extension of derivations. Zbl 0367.46059
Christensen, Erik
18
1978
Generators of semigroups of completely positive maps. Zbl 0389.47022
Christensen, Erik
6
1978
Derivations of nest algebras. Zbl 0356.46057
Christensen, Erik
64
1977
Perturbations of operator algebras. II. Zbl 0395.46045
Christensen, Erik
29
1977
Perturbation of operator algebras. Zbl 0366.46050
Christensen, Erik
21
1977
Perturbations of type I von Neumann algebras. Zbl 0319.46052
Christensen, Erik
18
1975
Non commutative integration for monotone sequentially closed C\(^*\)- algebras. Zbl 0252.46064
Christensen, Erik
5
1972
all top 5

Cited by 578 Authors

17 Christensen, Erik
17 Smith, Roger R.
13 Blecher, David P.
13 Sinclair, Allan M.
10 Hou, Jinchuan
9 White, Stuart Andrew
8 Heo, Jaeseong
8 Pisier, Gilles
7 Davidson, Kenneth R.
7 Guido, Daniele
7 Isola, Tommaso
7 Le Merdy, Christian
7 Popa, Sorin Teodor
7 Wright, John David Maitland
7 Wu, Wei
6 Bunce, Leslie J.
6 Hamhalter, Jan
6 Julien, Antoine
6 Lapidus, Michel L.
6 Li, Jiankui
6 Long, Botao
6 Pop, Florin
6 Qi, Xiaofei
6 Skeide, Michael
6 Zhang, Jianhua
5 Goswami, Debashish
5 Hadwin, Donald W.
5 Latrémolière, Frédéric
5 Ruan, Zhongjin
5 Skalski, Adam G.
4 Aiello, Valeriano
4 Bhowmick, Jyotishman
4 Evans, David E.
4 Farsi, Carla
4 Gilfeather, Frank L.
4 Haagerup, Uffe Valentin
4 Liebscher, Volkmar
4 Magajna, Bojan
4 Paulsen, Vern Ival
4 Roydor, Jean
4 Savinien, Jean
4 Taghavi Jelodar, Ali
4 Todorov, Ivan G.
4 Vignati, Alessandro
4 Wang, Liguang
4 Winter, Wilhelm
3 Ashraf, Mohammad
3 Bhat, B. V. Rajarama
3 Bratteli, Ola
3 Cameron, Jan M.
3 Cheng, Changjun
3 Conti, Roberto
3 Effros, Edward George
3 Ghahramani, Hoger
3 Gillaspy, Elizabeth
3 Han, Deguang
3 Helemskii, Alexander Ya.
3 Kang, Sooran
3 Kishimoto, Akitaka
3 Larson, David Royal
3 Lindsay, J. Martin
3 Lykova, Zinaida A.
3 Marcolli, Matilde
3 Martinetti, Pierre
3 Niestegge, Gerd
3 Packer, Judith A.
3 Pham, Duc Chinh
3 Pitts, David R.
3 Razeghi, Mehran
3 Samuel, Tony
3 Sauvageot, Jean-Luc
3 Šemrl, Peter
3 Sherstnev, Anatolij N.
3 Sukochev, Fedor Anatol’evich
3 Turowska, Lyudmila B.
3 Ylinen, Kari
3 Zacharias, Joachim
2 Aguilar, Konrad
2 Akhtar, Mohd Shuaib
2 An, Runling
2 Androulakis, George
2 Ara, Pere
2 Arunachalam, Srinivasan
2 Barchielli, Alberto
2 Ber, Aleksey Feliksovich
2 Briët, Jop
2 Buryachenko, Valeriy A.
2 Cao, Huaixin
2 Chang, Mouhsiung
2 Chao, Ching-Kong
2 Costara, Constantin
2 Crann, Jason
2 Crisp, Tyrone
2 Darvish, Vahid
2 Das, Sayan Kumar
2 Daws, Matthew
2 Dong, Zhe
2 Dvurečenskij, Anatolij
2 Fang, Junsheng
2 Farhadi, Hamid-Reza
...and 478 more Authors
all top 5

Cited in 142 Serials

81 Journal of Functional Analysis
26 Proceedings of the American Mathematical Society
21 Acta Mechanica
19 International Journal of Solids and Structures
17 Communications in Mathematical Physics
15 International Journal of Mathematics
15 Linear Algebra and its Applications
13 Journal of Mathematical Analysis and Applications
11 Advances in Mathematics
11 Acta Mathematica Sinica. English Series
10 Journal of Mathematical Physics
10 Linear and Multilinear Algebra
10 Integral Equations and Operator Theory
10 Transactions of the American Mathematical Society
9 International Journal of Theoretical Physics
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 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 Foundations of Physics
6 Journal of Noncommutative Geometry
5 Journal of Geometry and Physics
5 Inventiones Mathematicae
5 Mathematische Annalen
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Ergodic Theory and Dynamical Systems
5 Computational Mechanics
5 Proceedings of the National Academy of Sciences of the United States of America
4 Bulletin of the Australian Mathematical Society
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Studia Mathematica
4 Duke Mathematical Journal
4 Mediterranean Journal of Mathematics
4 Science China. Mathematics
3 Letters in Mathematical Physics
3 Mathematical Notes
3 Annales de l’Institut Fourier
3 Archive of Applied Mechanics
3 Mathematical Physics, Analysis and Geometry
3 Annales Henri Poincaré
3 Journal of the Australian Mathematical Society
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 Acta Mathematica
2 Journal of Pure and Applied Algebra
2 Mathematica Scandinavica
2 Memoirs of the American Mathematical Society
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Tôhoku 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 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Journal of Shanghai University
2 International Journal of Geometric Methods in Modern Physics
2 Banach Journal of Mathematical Analysis
2 Advances in Mathematical Physics
2 Journal of Fractal Geometry
1 Archive for Rational Mechanics and Analysis
1 Discrete Mathematics
1 General Relativity and Gravitation
1 International Journal of Heat and Mass Transfer
1 Journal of Statistical Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Compositio Mathematica
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 Kyungpook Mathematical Journal
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Ricerche di Matematica
1 SIAM Journal on Computing
1 Topology and its Applications
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
...and 42 more Serials
all top 5

Cited in 50 Fields

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

Citations by Year