Dr. Jochen Glück

I'm currently working as a researcher and as a teaching assistant at the Institute of Applied Analysis at Ulm University, Germany.

Research interests

  • Order structures in functional analysis, in particular Banach lattices
  • Asymptotics of operator semigroups
  • Spectral theory of positive operators and semigroups
  • Eventual positivity
  • Ordered algebraical semigroups

Teaching

Publications

  • Stephan Fackler, Jochen Glück: A Toolkit for Constructing Dilations on Banach spaces (arXiv). Submitted.
  • Moritz Gerlach, Jochen Glück: Mean Ergodicity vs Weak Almost Periodicity (arXiv).
    Submitted.
  • Moritz Gerlach, Jochen Glück: On a Convergence Theorem for Semigroups of Positive Integral Operators (arXiv).
    Comptes Rendus Mathématique, Volume 355, Issue 9, pp 973-976 (2017). DOI: 10.1016/j.crma.2017.07.017.
  • Moritz Gerlach, Jochen Glück: Convergence of Positive Operator Semigroups (arXiv).
    Submitted.
  • Daniel Daners, Jochen Glück: Towards a perturbation theory for eventually positive semigroups (arXiv).
    To appear in Journal of Operator Theory.
  • Daniel Daners, Jochen Glück: The role of domination and smoothing conditions in the theory of eventually positive semigroups (arXiv).
    Bulletin of the Australian Mathematical Society, Volume 96, Issue 2, pp 286-298 (2017). DOI: 10.1017/S0004972717000260
  • Jochen Glück: Towards a Perron--Frobenius Theory for Eventually Positive Operators (arXiv).
    Journal of Mathematical Analysis and Applications, Volume 453, Issue 1, pp 317-337 (2017). DOI: 
    10.1016/j.jmaa.2017.03.071
  • Jochen Glück: A Note on Lattice Ordered $C^*$-Algebras and Perron-Frobenius Theory (arXiv).
    Submitted.
  • Moritz Gerlach, Jochen Glück: Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups (arXiv).
    Ergodic Theory and Dynamical Systems, available online (2017). DOI: 10.1017/etds.2017.9
  • Jochen Glück, Growth Rates and the Peripheral Spectrum of Positive Operators (arXiv). 
    To appear in Houston Journal of Mathematics.
  • Daniel Daners, Jochen Glück, James B. Kennedy: Eventually and Asymptotically Postive Semigroups on Banach Lattices (arXiv).
    Journal of Differential Equations, Volume 261, Issue 5, pp 2607-2649 (2016). DOI: 10.1016/j.jde.2016.05.007
  • Jochen Glück: A Note on Approximation of Operator Semigroups (arXiv).
    Archiv der Mathematik, Volume 106, Issue 3, pp 265-273 (2016). DOI: 10.1007/s00013-015-0861-3
  • Jochen Glück: On the Peripheral Spectrum of Positive Operators (arXiv).
    Positivity, Volume 20, Issue 2, pp 307-336 (2016). DOI: 10.1007/s11117-015-0357-1
  • Daniel Daners, Jochen Glück, James B. Kennedy: Eventually Positive Semigroups of Linear Operators (arXiv).
    Journal of Mathematical Analysis and Applications, Volume 433, Issue 2, pp 1561-1593 (2016). DOI: 10.1016/j.jmaa.2015.08.050
  • Jochen Glück: On Weak Decay Rates and Uniform Stability of Bounded Linear Operators (arXiv).
    Archiv der Mathematik, Volume 104, Issue 4, pp 347-356 (2015). DOI: 10.1007/s00013-015-0746-5
  • Jochen Glück: Spectral and Asymptotic Properties of Contractive Semigroups on Non-Hilbert Spaces (arXiv).
    Journal of Operator Theory, Volume 76, Issue 1, pp 3-31 (2016). DOI: 10.7900/jot.2014oct09.2087 
  • Jochen Glück: Square Roots and Continuity in Strictly Linearly Ordered Semigroups on Real Intervals (arXiv)
    Semigroup Forum 89 (3), pp 491-500 (2014). DOI: 10.1007/s00233-014-9589-9

PhD thesis:

  • Invariant Sets and Long Time Behaviour of Operator Semigroups
    Ulm University, 2016. DOI: 10.18725/OPARU-4238

Preprints (not submitted for publication)

Research stays, conferences and workshops

  • 19th ÖMG Congress and DMV Annual Meeting
    11-15 September 2017, Salzburg (Austria)
  • Positivity IX
    17-21 July 2017, Edmonton (Canada)
  • 4th Workshop on Operator Theoretic Aspects of Ergodic Theory
    5-6 May 2017, Feldkirch (Austria)
  • Operator semigroups in Analysis: modern developments
    24-28 April 2017, Będlewo (Poland)
  • 3rd Workshop on Operator Theoretic Aspects of Ergodic Theory
    20-21 Januar 2017, Leipzig (Germany)
  • 2nd Workshop on Operator Theoretic Aspects of Ergodic Theory
    13-14 June 2016, Kiel (Germany)
  • Two week research stay at the University of Sydney
     8-22 November 2015, Sydney (Australia)
  • Frontiers in Operators Dynamics
    28 September - 2 October 2015, Luminy (France)
  • Evolution equations: theory and applications
    23-27 March, Besançon (France)
  • IWOTA 2014
    14-18 July 2014, Amsterdam (the Netherlands)
  • Positivity VII
    22-26 July 2013, Leiden (the Netherlands)

Scientific talks

  • 13 September 2017: Convergence Theorems for Positive Operator Semigroups.
    19th ÖMG Congress and Annual DMV Meeting, 11-15 September 2017, Salzburg; please find the presentation slides below in the section "Miscellaneous"
  • 27 July 2017: Dilatationen Linearer Operatoren: ein strukturtheoretischer Zugang.
    talk at the Arbeitsgruppe Funktionalanalysis, University of Tübingen
  • 18 July 2017: Eventual Positivity of Operator Semigroups.
    Positivity IX, 17-21 July 2017, Edmonton; please find the presentation slides below in the section "Miscellaneous"
  • 6 May 2017: Dilation Theorems on General Banach Spaces.
    Workshop on Operator Theoretic Aspects of Ergodic Theory, 5-6 May 2017, Feldkirch; please find the presentation slides below in the section "Miscellaneous"
  • 29 April 2017: Long Term Behaviour of Positive Operator Semigroups.
    Operator semigroups in Analysis: modern developments, 24-28 April 2017, Będlewo; please find the presentation slides below in the section "Miscellaneous"
  • 26 January 2017: Convergence of Positive Operator Semigroups without Time Regularity.
    Seminar on Partial Differential Equations, University of Konstanz
  • 15 December 2016: Vom infinitesimal Kleinen zum infinitesimal Großen: Konvergenz positiver Matrixhalbgruppen.
    AGFA and IAA workshop, 15-17 December 2016, Blaubeuren
  • 14 June 2016: Spectrum and Asymptotics of Iterates of Positive Operators.
    2nd Workshop on Operator Theoretic Aspects of Ergodic Theory, 13-14 June 2016, Kiel
  • 11 April 2016: Convergence of Positive Semigroups of Kernel Operators.
    Seminar of the Institute of Applied Analysis, Ulm University
  • 15 February 2015: Asymptotik von Konktraktionshalbgruppen auf L^p.
    Tulkka meeting, 15 February 2016, Karlruhe Institute of Technology
  • 10 December 2015: Schließliche Positivität von Operatorhalbgruppen.
    Research seminar on discrete spectral theory, University of Potsdam
  • 13 November 2015: Spectrum and Asymptotics of Contraction Semigroups.
    PDE Seminar, University of Sydney
  • 26 October 2015: Spektrum und Asymptotik von Kontraktionshalbgruppen.
    Seminar of the Institute of Applied Analysis, Ulm University
  • 15 July 2014: Eventual Positivity of Operator Semigroups.
    Iwota 2014, 14-18 July, Amsterdam; please find the presentation slides below in the section "Miscellaneous"
  • 12 December 2013: Schließliche Positivität von Operator-Halbgruppen.
    Research seminar of the Institute of Applied Analysis, Ulm University
  • 30 November 2013: Schließliche Positivität von Operator-Halbgruppen.
    Workshop "40 Jahre Ergodentheorie, 40 Jahre AGFA", 30 November 2013, University of Tübingen
  • 04 September 2013: Positive Semigroups and Perron-Frobenius Theory.
    Workshop "Probability, Analysis and Geometry", 02-06 September 2013, Ulm University; please find the presentation slides below in the section "Miscellaneous"
  • 12 April 2013: Spektraleigenschaften positiver Operatoren.
    Workshop of the Institute of Applied Analysis of Ulm University, 11-12 April 2013, Blaubeuren
  • 23 October 2012: Strikt linear geordnete Halbgruppen und Einbettungen in die reellen Zahlen.
    Research seminar of the Institute of Applied Analysis, Ulm University

Miscellaneous

  • Presentation slides for a talk on "Convergence Theorems for Positive Operator Semigroups" (13 September 2017), given at the 19th ÖMG Congress and DMV Annual Meeting.
    Please note: There was an error on slide 8 in the talk which is been corrected in the linked file.
  • Presentation slides for a talk on "Eventual Positivity of Operator Semigroups" (18 July 2017), given at Positivity IX in Edmonton
  • Presentation slides for a talk on "Dilation Theorems on General Banach Spaces" (6 May 2017), given at the "Workshop on Operator Theoretic Aspects of Ergodic Theory" in Feldkirch
  • Presentation slides for a talk on "Long Term Behaviour of Positive Operator Semigroups" (28 April 2017), given at the conference "Operator semigroups in Analysis: modern developments"
  • Presentation slides for a talk on "Eventual Positivity of Operator Semigroups" (15 July 2014), given at the Iwota 2014 in Amsterdam
    Please note: there is an error in the theorem on slide 7. One has to add the assertion "and ker(s(A)-A') contains a strictly positive functional" to condition (ii) in order to make the theorem hold.
  • Presentation slides for a talk on "Positive Semigroups and Perron-Frobenius Theory" (4 September 2013), given at the workshop "Probability, Analysis and Geometry" in Ulm

Address

Jochen Glück
Institut of Applied Analysis
Ulm University
89069 Ulm
Germany

How to contact me

Email: jochen.glueck(at)uni-ulm.de
Office: Helmholtzstr. 18, room E.11
Phone: +49 731 / 50 23602

Office hours

On appointment.

Links to my research profiles