Dr. Jochen Glück

Until March 2018 I was working as a researcher and as a teaching assistant at the Institute of Applied Analysis at Ulm University, Germany.

You can still contact me via my alumni email address:
jochen.glueck "insert 'at' here" alumni.uni-ulm.de

Research interests

  • Order structures in functional analysis, in particular Banach lattices and ordered Banach spaces
  • Convergence theorems for operator semigroups
  • Spectral theory of positive operators and semigroups
  • Eventual positivity
  • Ordered algebraical semigroups

Teaching

Publications

  • Jochen Glück: Spectral Gaps for Hyperbounded Operators (arXiv). To be submitted shortly.
  • Jochen Glück, Manfred P. H. WolffLong-Term Analysis of Positive Operator Semigroups via Asymptotic Domination (arXiv). Submitted.
  • Daniel Daners, Jochen Glück: A criterion for the uniform eventual positivity of operator semigroups (arXiv). Submitted.
  • 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).
    To appear in Studia Mathematica.
  • 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).
    Mathematische Nachrichten, available online (2018). DOI: 10.1002/mana.201700404.
  • 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)

  • J. Glück, A Markov Operator and a Markov semigroup on C(K) with non-cyclic peripheral point spectrum (pdf)
    Preprint in: Ulmer Seminare über Funktionalanalysis und Differentialgleichungen (Vol 19, 2014)

Research stays, conferences and workshops

  • 89th GAMM Annual Meeting
    19-23 March 2018, Munich (Germany)
  • 5th Workshop on Operator Theoretic Aspects of Ergodic Theory
    17-18 November 2017, Tübingen (Germany)
  • 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 2015, Besançon (France)
  • IWOTA 2014
    14-18 July 2014, Amsterdam (the Netherlands)
  • Positivity VII
    22-26 July 2013, Leiden (the Netherlands)

Scientific talks

  • 21 March 2018: Positive Operator Semigroups and Sherman’s Theorem on Lattice Ordered $C^*$-Algebras, 89th GAMM Annual Meeting, Munich
  • 12 February 2018: Ein neuer Zugang zu Operatordilatationen, Oberseminar Analysis und Dynamische Systeme, Christian-Albrechts-Universität zu Kiel
  • 18 November 2017: Mean ergodicity vs. weak almost periodicity of positive operators, 5th Workshop on Operator Theoretic Aspects of Ergodic Theory, 17-18 November 2017, Tübingen
  • 6 November 2017: Ein neuer Zugang zu Operatordilatationen. Research seminar of the Institute of Applied Analysis, Ulm University
  • 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.
    4th 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

How to contact me

Email: jochen.glueck "insert 'at' here" alumni.uni-ulm.de

Links to my research profiles