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Laustsen, Niels Jakob

Author ID: laustsen.niels-jakob Recent zbMATH articles by "Laustsen, Niels Jakob"
Published as: Laustsen, Niels Jakob; Laustsen, N. J.; Laustsen, Niels J.; Laustsen, N.
Documents Indexed: 47 Publications since 1998, including 1 Book and 3 Additional arXiv Preprints
Co-Authors: 32 Co-Authors with 37 Joint Publications
622 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 373 times in 285 Documents Cited by Year
An introduction to \(K\)-theory for \(C^*\)-algebras. Zbl 0967.19001
Rørdam, M.; Larsen, F.; Laustsen, N.
175
2000
The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces. Zbl 1067.46026
Laustsen, Niels Jakob; Loy, Richard J.; Read, Charles J.
17
2005
The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space. Zbl 1104.47062
Laustsen, Niels Jakob; Schlumprecht, Thomas; Zsák, András
15
2006
Ideal structure of the algebra of bounded operators acting on a Banach space. Zbl 1422.47068
Kania, Tomasz; Laustsen, Niels Jakob
13
2017
Uniqueness of the maximal ideal of the Banach algebra of bounded operators on \(C([0, \omega_1])\). Zbl 1253.46026
Kania, Tomasz; Laustsen, Niels Jakob
12
2012
Multi-norms and Banach lattices. Zbl 1380.46011
Dales, H. G.; Laustsen, N. J.; Oikhberg, T.; Troitsky, V. G.
11
2017
Factorization of the identity through operators with large diagonal. Zbl 1447.47022
Laustsen, Niels Jakob; Lechner, Richard; Müller, Paul F. X.
11
2018
Maximal ideals in the algebra of operators on certain Banach spaces. Zbl 1029.47046
Laustsen, Niels Jakob
9
2002
A properly infinite Banach \(*\)-algebra with a non-zero, bounded trace. Zbl 1025.46019
Dales, H. G.; Laustsen, Niels Jakob; Read, Charles J.
8
2003
A weak*-topological dichotomy with applications in operator theory. Zbl 1320.46023
Kania, Tomasz; Koszmider, Piotr; Laustsen, Niels Jakob
8
2014
Dichotomy theorems for random matrices and closed ideals of operators on \((\bigoplus _{n=1}^{\infty }\ell _{1}^{n})_{c_o}\). Zbl 1255.46007
Laustsen, N. J.; Odell, E.; Schlumprecht, Th.; Zsák, A.
7
2012
Closed ideals in the Banach algebra of operators on a Banach space. Zbl 1083.47062
Laustsen, Niels Jakob; Loy, Richard J.
7
2005
Maximal left ideals of the Banach algebra of bounded operators on a Banach space. Zbl 1308.47088
Dales, H. G.; Kania, Tomasz; Kochanek, Tomasz; Koszmider, Piotr; Laustsen, Niels Jakob
7
2013
Weak amenability of \(C^*\)-algebras and a theorem of Goldstein. Zbl 1034.46506
Haagerup, Uffe; Laustsen, Niels J.
6
1998
On ring-theoretic (in)finiteness of Banach algebras of operators on Banach spaces. Zbl 1040.47049
Laustsen, Niels Jakob
6
2003
Closed ideals of operators on the Tsirelson and Schreier spaces. Zbl 1457.46022
Beanland, Kevin; Kania, Tomasz; Laustsen, Niels Jakob
6
2020
A Banach space induced by an almost disjoint family, admitting only few operators and decompositions. Zbl 07319242
Koszmider, Piotr; Laustsen, Niels Jakob
6
2021
Uniqueness of the maximal ideal of operators on the \(\ell_p\)-sum of \(\ell_\infty^n\) \((n\in\mathbb{N})\) for \(1 < p <\infty\). Zbl 1371.46018
Kania, Tomasz; Laustsen, Niels Jakob
5
2016
Commutators of operators on Banach spaces. Zbl 1019.47032
Laustsen, Niels Jakob
5
2002
Free Banach lattices under convexity conditions. Zbl 1486.46020
Jardón-Sánchez, Héctor; Laustsen, Niels Jakob; Taylor, Mitchell A.; Tradacete, Pedro; Troitsky, Vladimir G.
5
2022
The Giesy-James theorem for the general index \(p\), with an application to operator ideals on the \(p\)th James space. Zbl 1299.46022
Bird, Alistair; Jameson, Graham; Laustsen, Niels Jakob
5
2013
\(K\)-theory for algebras of operators on Banach spaces. Zbl 0922.47037
Laustsen, Niels Jakob
4
1999
Matrix multiplication and composition of operators on the direct sum of an infinite sequence of Banach spaces. Zbl 0981.47025
Laustsen, Niels Jakob
3
2001
Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals. Zbl 1330.46048
Kania, Tomasz; Laustsen, Niels Jakob
3
2015
An amalgamation of the Banach spaces associated with James and Schreier. I: Banach-space structure. Zbl 1211.46018
Bird, Alistair; Laustsen, Niels Jakob
2
2010
Heisenberg-Lie commutation relations in Banach algebras. Zbl 1210.46036
Laustsen, Niels Jakob; Silvestrov, Sergei D.
2
2009
Banach spaces whose algebra of bounded operators has the integers as their \(K_0\)-group. Zbl 1332.46026
Kania, Tomasz; Koszmider, Piotr; Laustsen, Niels Jakob
2
2015
Approximately multiplicative maps between algebras of bounded operators on Banach spaces. Zbl 1511.47092
Choi, Yemon; Horváth, Bence; Laustsen, Niels Jakob
2
2022
Subspaces that can and cannot be the kernel of a bounded operator on a Banach space. Zbl 1480.46062
Laustsen, Niels Jakob; White, Jared T.
2
2020
Divisibility in the \(K_0\)-group of the algebra of operators on a Banach space. Zbl 0981.47040
Laustsen, Niels Jakob
1
2001
\(K\)-theory for the Banach algebra of operators on Jame’s quasi-reflexive Banach spaces. Zbl 1024.47042
Laustsen, Niels Jakob
1
2001
A very proper Heisenberg-Lie Banach \(\ast\)-algebra. Zbl 1266.46040
Laustsen, Niels Jakob
1
2012
Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space. (Scissions d’extensions et bidimension homologique de l’algèbre d’opérateurs bornés sur un espace de Banach.) Zbl 1380.47046
Laustsen, Niels Jakob; Skillicorn, Richard
1
2016
Extensions and the weak Calkin algebra of Read’s Banach space admitting discontinuous derivations. Zbl 1371.46038
Laustsen, Niels Jakob; Skillicorn, Richard
1
2017
Some remarks on James-Schreier spaces. Zbl 1202.46010
Bird, Alistair; Laustsen, Niels Jakob; Zsák, András
1
2010
Vector lattices admitting a positively homogeneous continuous function calculus. Zbl 1460.46004
Laustsen, Niels Jakob; Troitsky, Vladimir G.
1
2020
\(r\)-Fredholm theory in Banach algebras. Zbl 1431.46030
Benjamin, Ronalda; Laustsen, Niels Jakob; Mouton, Sonja
1
2019
The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. Zbl 07103367
Beanland, Kevin; Kania, Tomasz; Laustsen, Niels Jakob
1
2019
Free Banach lattices under convexity conditions. Zbl 1486.46020
Jardón-Sánchez, Héctor; Laustsen, Niels Jakob; Taylor, Mitchell A.; Tradacete, Pedro; Troitsky, Vladimir G.
5
2022
Approximately multiplicative maps between algebras of bounded operators on Banach spaces. Zbl 1511.47092
Choi, Yemon; Horváth, Bence; Laustsen, Niels Jakob
2
2022
A Banach space induced by an almost disjoint family, admitting only few operators and decompositions. Zbl 07319242
Koszmider, Piotr; Laustsen, Niels Jakob
6
2021
Closed ideals of operators on the Tsirelson and Schreier spaces. Zbl 1457.46022
Beanland, Kevin; Kania, Tomasz; Laustsen, Niels Jakob
6
2020
Subspaces that can and cannot be the kernel of a bounded operator on a Banach space. Zbl 1480.46062
Laustsen, Niels Jakob; White, Jared T.
2
2020
Vector lattices admitting a positively homogeneous continuous function calculus. Zbl 1460.46004
Laustsen, Niels Jakob; Troitsky, Vladimir G.
1
2020
\(r\)-Fredholm theory in Banach algebras. Zbl 1431.46030
Benjamin, Ronalda; Laustsen, Niels Jakob; Mouton, Sonja
1
2019
The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. Zbl 07103367
Beanland, Kevin; Kania, Tomasz; Laustsen, Niels Jakob
1
2019
Factorization of the identity through operators with large diagonal. Zbl 1447.47022
Laustsen, Niels Jakob; Lechner, Richard; Müller, Paul F. X.
11
2018
Ideal structure of the algebra of bounded operators acting on a Banach space. Zbl 1422.47068
Kania, Tomasz; Laustsen, Niels Jakob
13
2017
Multi-norms and Banach lattices. Zbl 1380.46011
Dales, H. G.; Laustsen, N. J.; Oikhberg, T.; Troitsky, V. G.
11
2017
Extensions and the weak Calkin algebra of Read’s Banach space admitting discontinuous derivations. Zbl 1371.46038
Laustsen, Niels Jakob; Skillicorn, Richard
1
2017
Uniqueness of the maximal ideal of operators on the \(\ell_p\)-sum of \(\ell_\infty^n\) \((n\in\mathbb{N})\) for \(1 < p <\infty\). Zbl 1371.46018
Kania, Tomasz; Laustsen, Niels Jakob
5
2016
Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space. (Scissions d’extensions et bidimension homologique de l’algèbre d’opérateurs bornés sur un espace de Banach.) Zbl 1380.47046
Laustsen, Niels Jakob; Skillicorn, Richard
1
2016
Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals. Zbl 1330.46048
Kania, Tomasz; Laustsen, Niels Jakob
3
2015
Banach spaces whose algebra of bounded operators has the integers as their \(K_0\)-group. Zbl 1332.46026
Kania, Tomasz; Koszmider, Piotr; Laustsen, Niels Jakob
2
2015
A weak*-topological dichotomy with applications in operator theory. Zbl 1320.46023
Kania, Tomasz; Koszmider, Piotr; Laustsen, Niels Jakob
8
2014
Maximal left ideals of the Banach algebra of bounded operators on a Banach space. Zbl 1308.47088
Dales, H. G.; Kania, Tomasz; Kochanek, Tomasz; Koszmider, Piotr; Laustsen, Niels Jakob
7
2013
The Giesy-James theorem for the general index \(p\), with an application to operator ideals on the \(p\)th James space. Zbl 1299.46022
Bird, Alistair; Jameson, Graham; Laustsen, Niels Jakob
5
2013
Uniqueness of the maximal ideal of the Banach algebra of bounded operators on \(C([0, \omega_1])\). Zbl 1253.46026
Kania, Tomasz; Laustsen, Niels Jakob
12
2012
Dichotomy theorems for random matrices and closed ideals of operators on \((\bigoplus _{n=1}^{\infty }\ell _{1}^{n})_{c_o}\). Zbl 1255.46007
Laustsen, N. J.; Odell, E.; Schlumprecht, Th.; Zsák, A.
7
2012
A very proper Heisenberg-Lie Banach \(\ast\)-algebra. Zbl 1266.46040
Laustsen, Niels Jakob
1
2012
An amalgamation of the Banach spaces associated with James and Schreier. I: Banach-space structure. Zbl 1211.46018
Bird, Alistair; Laustsen, Niels Jakob
2
2010
Some remarks on James-Schreier spaces. Zbl 1202.46010
Bird, Alistair; Laustsen, Niels Jakob; Zsák, András
1
2010
Heisenberg-Lie commutation relations in Banach algebras. Zbl 1210.46036
Laustsen, Niels Jakob; Silvestrov, Sergei D.
2
2009
The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space. Zbl 1104.47062
Laustsen, Niels Jakob; Schlumprecht, Thomas; Zsák, András
15
2006
The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces. Zbl 1067.46026
Laustsen, Niels Jakob; Loy, Richard J.; Read, Charles J.
17
2005
Closed ideals in the Banach algebra of operators on a Banach space. Zbl 1083.47062
Laustsen, Niels Jakob; Loy, Richard J.
7
2005
A properly infinite Banach \(*\)-algebra with a non-zero, bounded trace. Zbl 1025.46019
Dales, H. G.; Laustsen, Niels Jakob; Read, Charles J.
8
2003
On ring-theoretic (in)finiteness of Banach algebras of operators on Banach spaces. Zbl 1040.47049
Laustsen, Niels Jakob
6
2003
Maximal ideals in the algebra of operators on certain Banach spaces. Zbl 1029.47046
Laustsen, Niels Jakob
9
2002
Commutators of operators on Banach spaces. Zbl 1019.47032
Laustsen, Niels Jakob
5
2002
Matrix multiplication and composition of operators on the direct sum of an infinite sequence of Banach spaces. Zbl 0981.47025
Laustsen, Niels Jakob
3
2001
Divisibility in the \(K_0\)-group of the algebra of operators on a Banach space. Zbl 0981.47040
Laustsen, Niels Jakob
1
2001
\(K\)-theory for the Banach algebra of operators on Jame’s quasi-reflexive Banach spaces. Zbl 1024.47042
Laustsen, Niels Jakob
1
2001
An introduction to \(K\)-theory for \(C^*\)-algebras. Zbl 0967.19001
Rørdam, M.; Larsen, F.; Laustsen, N.
175
2000
\(K\)-theory for algebras of operators on Banach spaces. Zbl 0922.47037
Laustsen, Niels Jakob
4
1999
Weak amenability of \(C^*\)-algebras and a theorem of Goldstein. Zbl 1034.46506
Haagerup, Uffe; Laustsen, Niels J.
6
1998
all top 5

Cited by 386 Authors

16 Laustsen, Niels Jakob
10 Kania, Tomasz
7 Motakis, Pavlos
6 Ara, Pere
6 Eilers, Søren
6 Horváth, Bence
6 Rørdam, Mikael
6 Sims, Aidan
5 Lechner, Richard
5 Schulz-Baldes, Hermann
4 Carlsen, Toke Meier
4 Kellendonk, Johannes
4 Koszmider, Piotr B.
4 Lupini, Martino
4 Oikhberg, Timur
4 Pask, David
4 Ruiz, Efren
4 Tomforde, Mark
4 Wei, Changguo
3 Beanland, Kevin
3 Candido, Leandro
3 Dales, Harold Garth
3 Hayashi, Shin
3 Helemskii, Alexander Ya.
3 Hua, Jiajie
3 Klimek, Slawomir
3 Kubota, Yosuke
3 Liu, Junping
3 Mcbride, Matt
3 Melo, Severino Toscano
3 Peoples, John Wilson
3 Prodan, Emil
3 Richard, Serge
3 Schlumprecht, Thomas
3 Tradacete Pérez, Pedro
3 Zhang, Yuanhang
3 Zheng, Bentuo
3 Zhong, Huaijie
2 Abbasi, Malek
2 Amini, Massoud
2 Aviles Lopez, Antonio
2 Blasco, Oscar
2 Bönicke, Christian
2 Cabrera García, Miguel
2 Cortiñas, Guillermo H.
2 Daws, Matthew
2 Dor-On, Adam
2 Exel, Ruy
2 Freeman, Daniel H. jun.
2 Garcés, Jorge José
2 Ji, Kui
2 Jiang, Chunlan
2 Karn, Anil Kumar
2 Katsura, Takeshi
2 Kochanek, Tomasz
2 Kumar, Ajay
2 Kumar, Amit
2 Leung, Denny H.
2 Li, Kang
2 Li, Yucheng
2 Liu, Shudong
2 Loring, Terry A.
2 Lorist, Emiel
2 Martínez-Cervantes, Gonzalo
2 Müller, Paul F. X.
2 Nikolaev, Igor Vasilievich
2 Pelczar-Barwacz, Anna
2 Peralta, Antonio M.
2 Plebanek, Grzegorz
2 Putnam, Ian F.
2 Raeburn, Iain
2 Restorff, Gunnar
2 Rodríguez Abellán, José David
2 Rodríguez Palacios, Angel
2 Rouzbehani, Mohammad
2 Rueda Zoca, Abraham
2 Salguero-Alarcón, Alberto
2 Seth, Apurva
2 Sierakowski, Adam J.
2 Skillicorn, Richard
2 Théra, Michel A.
2 Thiang, Guo Chuan
2 Troitsky, Vladimir G.
2 Tylli, Hans-Olav
2 Vaidyanathan, Prahlad
2 Wallis, Ben
2 White, Jared T.
2 Wirzenius, Henrik
2 Zhang, Yunnan
2 Zsák, András
1 Aaserud, Andreas Næs
1 Abedi, Sajjad
1 Abrams, Gene D.
1 Aguilar, Konrad
1 Akbari, Aboozar
1 Akbarov, Sergei S.
1 Akhtari, Fatemeh
1 Alaminos, Jerónimo
1 Albanese, Angela Anna
1 Albiac, Fernando
...and 286 more Authors
all top 5

Cited in 103 Serials

38 Journal of Functional Analysis
17 Journal of Mathematical Analysis and Applications
15 Advances in Mathematics
14 Proceedings of the American Mathematical Society
10 Transactions of the American Mathematical Society
8 Journal of Noncommutative Geometry
8 Banach Journal of Mathematical Analysis
7 Communications in Mathematical Physics
7 Journal of Geometry and Physics
7 Positivity
6 Studia Mathematica
5 Journal of Mathematical Physics
4 Israel Journal of Mathematics
4 Letters in Mathematical Physics
4 Memoirs of the American Mathematical Society
4 Ergodic Theory and Dynamical Systems
4 Operators and Matrices
3 Bulletin of the Australian Mathematical Society
3 Colloquium Mathematicum
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Bulletin of the Iranian Mathematical Society
3 Annales Henri Poincaré
3 Journal of the Australian Mathematical Society
3 Annals of Functional Analysis
2 Communications in Algebra
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Integral Equations and Operator Theory
2 Journal of Algebra
2 Bulletin of the Korean Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Algebras and Representation Theory
2 Acta Mathematica Sinica. English Series
2 Complex Analysis and Operator Theory
2 Journal of \(K\)-Theory
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Advances in Operator Theory
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Dissertationes Mathematicae
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Journal of Multivariate Analysis
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 The Journal of Symbolic Logic
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Order
1 \(K\)-Theory
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Science in China. Series A
1 International Journal of Mathematics
1 MSCS. Mathematical Structures in Computer Science
1 Aequationes Mathematicae
1 Annals of Physics
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 Annales Mathématiques Blaise Pascal
1 Kyushu Journal of Mathematics
1 Izvestiya: Mathematics
1 Documenta Mathematica
1 Mathematical Physics, Analysis and Geometry
1 Mathematical Inequalities & Applications
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Involve
1 Japanese Journal of Mathematics. 3rd Series
1 Commentationes Mathematicae
1 Set-Valued and Variational Analysis
1 Forum of Mathematics, Sigma
1 Concrete Operators
...and 3 more Serials
all top 5

Cited in 43 Fields

236 Functional analysis (46-XX)
94 Operator theory (47-XX)
43 \(K\)-theory (19-XX)
25 Quantum theory (81-XX)
16 Associative rings and algebras (16-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 Global analysis, analysis on manifolds (58-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Topological groups, Lie groups (22-XX)
11 Mathematical logic and foundations (03-XX)
9 Abstract harmonic analysis (43-XX)
8 General topology (54-XX)
8 Algebraic topology (55-XX)
7 Category theory; homological algebra (18-XX)
7 Probability theory and stochastic processes (60-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Nonassociative rings and algebras (17-XX)
6 Group theory and generalizations (20-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Combinatorics (05-XX)
4 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Number theory (11-XX)
3 Algebraic geometry (14-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
3 Differential geometry (53-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year