Dr Niels Laustsen

Senior Lecturer

Research Interests

  • Operators on Banach spaces (and algebras thereof)
  • Banach and Banach *-algebras
  • Ideal structure, traces, K-theory
  • Operator algebras

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. 2014 In: Journal of Operator Theory. 16 p.
Journal article

Maximal left ideals of the Banach algebra of bounded operators on a Banach space
Dales, H., Kania, T., Kochanek, T., Koszmider, P., Laustsen, N. 2013 In: Studia Mathematica. 218, 3, p. 245-286. 42 p.
Journal article

Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals
Kania, T., Laustsen, N. 2013 , 9 p.
Working paper

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.
Journal article

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.
Journal article

A very proper Heisenberg-Lie Banach *-algebra.
Laustsen, N.J. 03/2012 In: Positivity. 16, 1, p. 67-79. 13 p.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

Closed ideals in the Banach algebra of operators on a Banach space.
Laustsen, N.J., Loy, R.J., Jarosz, K., Soltysiak, A. 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.
Journal article

K-theory for Banach *-algebras.
Laustsen, N.J. 2004 In: Banach Algebras and Their Applications. Providence, Rhode Island : American Mathematical Society p. 213-222. 10 p. ISBN: 978-0-8218-3471-8.
Chapter

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.
Journal article

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.
Journal article

Commutators of operators on Banach spaces.
Laustsen, N.J. 1/09/2002 In: Journal of Operator Theory. 48, 3, p. 503-514. 12 p.
Journal article