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Operator- und Spektraltheorie

Publikationen

Preprints:

  • Eigenvalues of compactly perturbed operators via entropy numbers,
    submitted. arXiv-Preprint: 1710.01633.

Artikel in referierten Zeitschriften:

  • Some remarks on upper bounds for Weierstrass primary factors and their application in spectral theory,
    Complex Anal. Oper. Theory, 11(6) (2017) 1467–1476. arXiv-Preprint: 1704.01810.
  • Perturbation determinants in Banach spaces - with an application to eigenvalue estimates for perturbed operators,
    Math. Nachr., 289(13) (2016) 1606-1625. arXiv-Preprint: 1507.06816.
  • Estimating the number of eigenvalues of linear operators on Banach spaces,
    gemeinsam mit M. Demuth, F. Hanauska und G.Katriel,
    J. Funct. Anal., 268 (2015) 1032-1052. arXiv-Preprint: 1409.8569.
  • An observation concerning boundary points of the numerical range,
    Oper. Matrices, 9(3) (2015) 545-548. arXiv-Preprint: 1409.4558.
  • On non-round points of the boundary of the numerical range and an application to non-selfadjoint Schrödinger operators,
    J. Spectr. Theory, 5(4) (2015) 731–750. arXiv-Preprint: 1404.3960.
  • Lieb–Thirring Type Inequalities for Schrödinger Operators with a Complex-Valued Potential,
    gemeinsam mit M. Demuth und G.Katriel,
    Int. Eq. Op. Theory, 75(1) (2013) 1-5, Open Problems.
  • Variation of discrete spectra for non-selfadjoint perturbations of selfadjoint operators,
    Int. Eq. Op. Theory, 76(1) (2013) 163-178. arXiv-Preprint: 1202.1118.
  • Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range,
    Proc. Amer. Math. Soc., 142 (2014), 1321-1335. arXiv-Preprint: 1108.1279.
  • From spectral theory to bounds on zeros of holomorphic functions,
    gemeinsam mit G. Katriel,
    Bull. Lond. Math. Soc., 45(1) (2013) 103-110. arXiv-Preprint: 1103.1487.
  • An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators,
    Lett. Math. Phys., 98(1) (2011) 79-95. arXiv-Preprint: 1006.5308.
  • On the discrete spectrum of non-selfadjoint operators,
    gemeinsam mit M. Demuth und G.Katriel,
    J. Funct. Anal., 257 (2009) 2742-2759. arXiv-Preprint: 0908.2188.
  • On spectral stability for the fractional Laplacian perturbed by unbounded obstacles,
    gemeinsam mit M. Demuth,
    Math. Nachr., 282(9) (2009) 1265-1277.
  • Estimating eigenvalue moments via Schatten norm bounds on semigroup differences,
    Math. Phys. Anal. Geom., 10(3) (2007) 261-270.

Konferenzbände:

  • On the role of the comparison function in the spectral theory of selfadjoint operators,
    gemeinsam mit M. Demuth,
    Commun. Math. Anal., Conf. 03 (2011) 77-87, Proceedings of the conference "Analysis, Mathematical Physics and Applications" in Ixtapa, Mexico, March 1-5, 2010.

Mathematische Berichte:

  • On the distribution of eigenvalues of non-selfadjoint operators,
    gemeinsam mit M. Demuth and G. Katriel,
    TU Clausthal Mathematik Bericht 01/08. arXiv-Preprint: 0802.2468.

Abschlussarbeiten:

  • Schrödinger-Operatoren mit großen Kopplungen – exakte Konvergenzraten,
    Diplomarbeit, TU Clausthal 2005.
  • On the discrete spectrum of linear operators in Hilbert spaces,
    Dissertation, TU Clausthal 2010. Elektronische Version

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