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

Winter term 2017/18: assistant for Functional Analysis
Winter term 2017/18: assistant for Measure Theory
Summer term 2017: Elements of Functional Analysis
Summer term 2017: assistant for Analysis 1
Winter term 2016/17: assistant for Linear Algebra 1
Winter term 2016/17: assistant for the seminar Dynamical Systems: Modelling, Analysis and Visualisation
Summer term 2016: assistant for Elements of Functional Analysis
Winter term 2015/16: assistant for Dynamical Systems
Summer term 2015: assistant for the seminar Harmonic Analysis
Summer term 2015: co-coordinator of a project for the workshop of the 18th Internet Seminar on Evolution Equations
Winter term 2014/15: tutor for the course Analysis 1
Summer term 2014: -
Winter term 2013/14: supervisor for the seminar Dynamical Systems and Computer Simulations
Summer term 2013: assistant for Semigroups and Evolution Equations
Summer term 2013: assistant for Introduction to Variational Calculus II
Summer term 2013: tutor for the MathLab

Publications

Jochen Glück: Spectral Gaps for Hyperbounded Operators (arXiv). To be submitted shortly.
Jochen Glück, Manfred P. H. Wolff: Long-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