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Dr Niels Laustsen

Dr Niels Laustsen

Senior Lecturer

Fylde College
Lancaster University
Bailrigg
Lancaster
United Kingdom
LA1 4YF

+44 (0)1524 594617

Research Interests

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

Niels Laustsen's Publications

In Press

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.

Research output: Contribution to journalJournal article

2013

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 journalJournal article

2012

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 journalJournal 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.

Research output: Contribution to journalJournal article

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 journalJournal article

2010

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 journalJournal 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.

Research output: Contribution to journalJournal article

2009

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 journalJournal article

2006

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 journalJournal article

2004

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 journalJournal article

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 journalJournal article

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/ProceedingsChapter

2003

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 journalJournal article

2002

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 journalJournal 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.

Research output: Contribution to journalJournal article

Current Students

Research students currently supervised by Niels Laustsen include: