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Research

Professor Niels Laustsen

Senior Lecturer

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  1. 2025
  2. Forthcoming

    Kernels of bounded operators on the classical transfinite Banach sequence spaces

    Arnott, M. & Laustsen, N., 10/02/2025, (Accepted/In press) Banach algebras and harmonic analysis. Filali, M. (ed.). de Gruyter, 11 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review

  3. E-pub ahead of print

    Closed ideals of operators on the Baernstein and Schreier spaces

    Laustsen, N. & Smith, J., 15/06/2025, In: Journal of Mathematical Analysis and Applications. 546, 2, 33 p., 129235.

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

  4. 2024
  5. Published

    Kernels of operators on Banach spaces induced by almost disjoint families

    Horvath, B. & Laustsen, N., 31/12/2024, In: Houston Journal of Mathematics. 50, 1, p. 157-171 15 p.

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

  6. Published

    Uniqueness of algebra norm on quotients of the algebra of bounded operators on a Banach space

    Arnott, M. & Laustsen, N. J., 15/10/2024, In: Journal of Functional Analysis. 287, 8, 110559.

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

  7. Published

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

    Horst, S. T. & Laustsen, N., 15/07/2024, In: Journal of Functional Analysis. 287, 2, 33 p., 110463.

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

  8. 2023
  9. 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

  10. 2022
  11. 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

  12. 2021
  13. 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

  14. 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

  15. 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

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