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Professor Niels Laustsen

Senior Lecturer

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  1. 2024
  2. Forthcoming

    Equivalence after extension and Schur coupling for Fredholm operators on Banach spaces

    Horst, S. T. & Laustsen, N., 11/04/2024, (Accepted/In press) In: Journal of Functional Analysis. 33 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  3. 2023
  4. Forthcoming

    A surjective summation operator with no Lipschitz right inverse

    Laustsen, N., Messerschmidt, M. & Wortel, M., 30/03/2023, (Accepted/In press) In: Proceedings of the American Mathematical Society. 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  5. 2022
  6. Published

    Approximately multiplicative maps between algebras of bounded operators on Banach spaces

    Choi, Y., Horvath, B. & Laustsen, N., 31/10/2022, In: Transactions of the American Mathematical Society. 375, 10, p. 7121-7147 27 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  7. 2021
  8. Published

    Free Banach lattices under convexity conditions

    Jardon-Sanchez, H., Laustsen, N., Taylor, M. A., Tradacete, P. & Troitsky, V., 11/10/2021, In: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 116, 15, 25 p., 15.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  9. Published

    Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces

    Arnott, M. & Laustsen, N., 1/08/2021, In: Journal of Mathematical Analysis and Applications. 500, 1, 10 p., 125105.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  10. Published

    A Banach space induced by an almost disjoint family, admitting only few operators and decompositions

    Koszmider, P. & Laustsen, N., 16/04/2021, In: Advances in Mathematics. 381, 32 p., 107613.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  11. 2020
  12. E-pub ahead of print

    Closed ideals of operators on the Tsirelson and Schreier spaces

    Beanland, K., Kania, T. & Laustsen, N., 1/06/2020, (E-pub ahead of print) In: Journal of Functional Analysis. 279, 8, 28 p., 108668.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  13. Published

    Vector lattices admitting a positively homogeneous continuous function calculus

    Laustsen, N. & Troitsky, V. G., 1/03/2020, In: The Quarterly Journal of Mathematics. 71, 1, p. 281–294 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  14. 2019
  15. Published

    r-Fredholm theory in Banach algebras

    Benjamin, R., Laustsen, N. J. & Mouton, S., 1/09/2019, In: Glasgow Mathematical Journal. 61, 3, p. 615-627 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  16. E-pub ahead of print

    The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces

    Beanland, K., Kania, T. & Laustsen, N. J., 1/09/2019, (E-pub ahead of print) In: Houston Journal of Mathematics. 45, 2, p. 553-566 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  17. 2018
  18. Published

    Factorization of the identity through operators with large diagonal

    Laustsen, N. J., Lechner, R. & Mueller, P., 1/12/2018, In: Journal of Functional Analysis. 275, 11, p. 3169-3207 39 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  19. Published

    Riesz operators with finite rank iterates

    Laustsen, N. J. & Raubenheimer, H., 1/12/2018, In: Journal of Mathematical Analysis and Applications. 468, 1, p. 506-512 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  20. Forthcoming

    Subspaces that can and cannot be the kernel of a bounded operator on a Banach space

    Laustsen, N. J. & White, J. T., 17/11/2018, (Accepted/In press) Proceedings of the 24th International Conference on Banach algebras and Applications. Filali, M. (ed.). 6 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  21. Published

    An infinite C*-algebra with a dense, stably finite *-subalgebra

    Laustsen, N. J. & White, J., 03/2018, In: Proceedings of the American Mathematical Society. 146, p. 2523-2528 6 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  22. 2017
  23. Published

    Multi-norms and Banach lattices

    Dales, H. G., Laustsen, N. J., Oikhberg, T. & Troitsky, V. G., 07/2017, In: Dissertationes Mathematicae (Rozprawy Matematyczne). 524, p. 1-115 115 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  24. Published

    Ideal structure of the algebra of bounded operators acting on a Banach space

    Kania, T. & Laustsen, N. J., 2017, In: Indiana University Mathematics Journal. 66, 3, p. 1019-1043 25 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  25. 2016
  26. Published

    Extensions and the weak Calkin algebra of Read's Banach space admitting discontinuous derivations

    Laustsen, N. J. & Skillicorn, R., 10/11/2016, In: Studia Mathematica. 236, p. 51-62 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  27. Published

    A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space

    Kania, T., Laustsen, N. J. & Skillicorn, R., 20/09/2016, In: Journal of Functional Analysis. 271, p. 2888-2898 11 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  28. Published

    Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space

    Laustsen, N. J. & Skillicorn, R., 05/2016, In: Comptes Rendus Mathématique. 354, 5, p. 459-463 5 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  29. Published

    Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N) for 1 < p< ∞

    Kania, T. & Laustsen, N., 05/2016, In: Mathematical Proceedings of the Cambridge Philosophical Society. 160, 3, p. 413-421 9 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  30. 2015
  31. Published

    Banach spaces whose algebra of bounded operators has the integers as their K0-group

    Kania, T., Koszmider, P. & Laustsen, N., 1/08/2015, In: Journal of Mathematical Analysis and Applications. 428, 1, p. 282-294 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  32. Published

    Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals

    Kania, T. & Laustsen, N., 2015, In: Proceedings of the American Mathematical Society. 143, p. 2585-2596 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  33. 2014
  34. Published

    A weak*-topological dichotomy with applications in operator theory

    Kania, T., Koszmider, P. & Laustsen, N., 14/05/2014, In: Transactions of the London Mathematical Society. 1, 1, p. 1-28 28 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  35. 2013
  36. Published

    Maximal left ideals of the Banach algebra of bounded operators on a Banach space

    Dales, H. G., Kania, T., Kochanek, T., Koszmider, P. & Laustsen, N., 2013, In: Studia Mathematica. 218, 3, p. 245-286 42 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  37. Published

    The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space

    Bird, A., Jameson, G. & Laustsen, N., 2013, In: Journal of Operator Theory. 70, 1, p. 291-307 17 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  38. 2012
  39. Published

    Dichotomy theorems for random matrices and closed ideals of operators on (\bigoplus_{n=1}^\infty\ell_1^n)_{c_0}.

    Laustsen, N. J., Odell, E., Schlumprecht, T. & Zsak, A., 08/2012, In: Journal of the London Mathematical Society. 86, 1, p. 235-258 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  40. Published

    Uniqueness of the maximal ideal of the Banach algebra of bounded operators on C([0,ω1])

    Kania, T. & Laustsen, N., 1/06/2012, In: Journal of Functional Analysis. 262, p. 4831-4850 20 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  41. Published

    A very proper Heisenberg-Lie Banach *-algebra.

    Laustsen, N. J., 03/2012, In: Positivity. 16, 1, p. 67-79 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  42. 2010
  43. Published

    An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure.

    Bird, A. & Laustsen, N. J., 12/2010, In: Banach Center Publications. 91, p. 45-76 32 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  44. Published

    Some remarks on James-Schreier spaces.

    Bird, A., Laustsen, N. J. & Zsak, A., 15/11/2010, In: Journal of Mathematical Analysis and Applications. 371, 2, p. 609-613 5 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  45. 2009
  46. Published

    Heisenberg-Lie commutation relations in Banach algebras.

    Laustsen, N. J. & Silvestrov, S. D., 2009, In: Mathematical Proceedings of the Royal Irish Academy. 109, 2, p. 163-186 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  47. 2006
  48. Published

    The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space.

    Laustsen, N. J., Schlumprecht, T. & Zsak, A., 2006, In: Journal of Operator Theory. 56, 2, p. 391-402 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  49. 2005
  50. Published

    Erratum: "The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces" (Journal of Functional Analysis (2004) vol. 214 (106-131) 10.1016.j.jfa.2004.02.009)

    Laustsen, N. J., Loy, R. J. & Read, C. J., 1/03/2005, In: Journal of Functional Analysis. 220, 1, p. 240-241 2 p.

    Research output: Contribution to Journal/Magazine › Comment/debate › peer-review

  51. 2004
  52. Published

    The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces.

    Laustsen, N. J., Loy, R. J. & Read, C. J., 1/09/2004, In: Journal of Functional Analysis. 214, 1, p. 106-131 26 p.

    Research output: Contribution to Journal/Magazine › Journal article

  53. Published

    Closed ideals in the Banach algebra of operators on a Banach space.

    Laustsen, N. J., Loy, R. J., Jarosz, K. (ed.) & Soltysiak, A. (ed.), 2004, In: Proceedings of the Conference on Topological Algebras, their Applications, and Related Topics (ed. K. Jarosz and A. Soltysiak), Banach Center Publications. 67, p. 245-264 20 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  54. Published

    K-theory for Banach *-algebras.

    Laustsen, N. J., 2004, Banach Algebras and Their Applications. Lau, A. T-M. & Runde, V. (eds.). 363 ed. Providence, Rhode Island: American Mathematical Society, p. 213-222 10 p. (Contemporary Mathematics).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

  55. 2003
  56. Published

    A properly infinite Banach *-algebra with a non-zero, bounded trace

    Dales, H. G., Laustsen, N. J. & Read, C. J., 1/04/2003, In: Studia Mathematica. 155, 2, p. 107-129 23 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  57. Published

    On ring-theoretic (in)finiteness of Banach algebras of operators on Banach spaces

    Laustsen, N. J., 31/01/2003, In: Glasgow Mathematical Journal. 45, 1, p. 11-19 9 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  58. 2002
  59. Published

    Maximal ideals in the algebra of operators on certain Banach spaces.

    Laustsen, N. J., 1/10/2002, In: Proceedings of the Edinburgh Mathematical Society. 45, 3, p. 523-546 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  60. Published

    Commutators of operators on Banach spaces.

    Laustsen, N. J., 1/09/2002, In: Journal of Operator Theory. 48, 3, p. 503-514 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  61. 2001
  62. Published

    Matrix multiplication and composition of operators on the direct sum of an infinite sequence of Banach spaces

    Laustsen, N. J., 31/07/2001, In: Mathematical Proceedings of the Cambridge Philosophical Society. 131, 1, p. 165-183 19 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  63. Published

    K-Theory for the Banach Algebra of Operators on James's Quasi-reflexive Banach Spaces

    Laustsen, N. J., 30/06/2001, In: K-Theory. 23, 2, p. 115-127 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  64. Published

    Divisibility in the K0-group of the algebra of operators on a Banach space

    Laustsen, N. J., 31/03/2001, In: K-Theory. 22, 3, p. 241-249 9 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  65. 1999
  66. Published

    K-theory for algebras of operators on Banach spaces

    Laustsen, N. J., 30/04/1999, In: Journal of the London Mathematical Society. 59, 2, p. 715-728 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

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