Research Activities
Table of contents
Invited Talks
- A functional representation approach to vector lattice covers for spaces of compact operators
Conference on Ordered Structures with Applications - COSA 2025, University of the Witwatersrand Johannesburg, Rural campus Acornhoek, South Africa, April 2025 - Operators on pre-Riesz spaces
CoEMaSS Lecture, University of the Witwatersrand, Johannesburg, South Africa, March 2025 - Riesz Homomorphisms and related structure preserving operators on ordered vector spaces
University of the Witwatersrand, Johannesburg, South Africa, March 2024 - Ordered Banach spaces: embeddings and structure preserving operators
University of the Witwatersrand, Johannesburg, South Africa, February 2023 - An order theoretic analysis of atomic JBW-algebras
COSA 2023 workshop, Tozeur, Tunisia, February 2023 - Bi-Riesz homomorphisms in partially ordered vector spaces
Online lecture, Faculte des Sciences de Tunis, Tunisia, December 2019 - Ordered Banach spaces: embeddings and disjointness preserving operators
Universitatea Babes-Bolyai din Cluj-Napoca, Department of Mathematics, Romania, October 2019 - Ordered Banach spaces: embeddings and disjointness preserving operators
Workshop on Banach spaces and Banach lattices, Instituto de Ciencias Matemáticas, Madrid, Spain, September 2019 - Pre-Riesz spaces: embeddings and structure preserving operators
Conference Positivity X, Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa, July 2019 - Partially ordered vector spaces: embedding techniques and structure preserving operators
Indian Institute of Technology Madras, Department of Mathematics, Chennai, India,
February 2019 - Partially ordered vector spaces
Workshop: Order structures, Jordan algebras, and geometry.
Lorentz Center, Leiden, The Netherlands, June 2017 - Ideals and bands in pre-Riesz spaces
South. Mathematical Institute of Vladikavkaz Scientific Centre,
Russian Academy of Sciences, May 2015 - Positive dynamische Systeme und Strukturen in prä-Riesz-Räumen
Universität Kassel, Fachbereich Mathematik, Juli 2012 - Substructures in partially ordered vector spaces seen in the light of functional representations
University of Kent, Canterbury, U.K., June 2011 - Stabilitätsradien positiver Systeme - dynamische Gleichungen auf Zeitskalen Universität Tübingen, AG Funktionalanalysis, Januar 2009.
- M-operators on ordered normed spaces
Leiden University, The Netherlands, February 2006 - Disjointness in partially ordered vector spaces (in Norwegian)
Høgskolen i Agder, Kristiansand, Norway, March 2004Operators on pre-Riesz spaces
Research Visits
- Research visits at the University of the Witwatersrand, Johannesburg, South Africa: March 2025, March 2024, Febr. 2023. Cooperation on Stochastic notions in Riesz spaces, with Bruce Watson and Wen Chi Kuo.
NITheCS Mini-School: Vector lattices with a view to applications in stochastic processes, Bruce A. Watson (University of the Witwatersrand, CoE-MaSS and NITheCS)
Wed, 10, 17 & 24 April 2024 & Thurs, 2 May, , Lecture 1, Lecture 2, Lecture 3, Lecture 4 - Invited lecturer for the Vladikavkas young scientists mathematical school, XVI (online), September 24-27, 2021. Short Course Pre-Riesz Spaces (4 lectures)
- Research visit at Indian Institute of Technology Madras, Department of Mathematics, Chennai, India, February 19 - March 5, 2019
Short Course for PhD students: An intruduction into partially ordered vector spaces: substructures and structure preserving operators - CMO-BIRS Workshop Recent Advances in Banach Lattices
Oaxaca, Mexico, from April 29 to May 09, 2018 - Research visit at the South. Mathematical Institute of Vladikavkaz Scientific Centre, Russian Academy of Sciences, North Ossetia, 24-30 May 2015, funded by the DFG Grant Positivity in Banach spaces
- Deputy professorship (W2) at University of Kassel, April - September 2012
- Research cooperation on partially ordered vector spaces and operators on ordered spaces with O. van Gaans, Leiden University (The Netherlands).
Many joint work visits in Leiden and Dresden since 2005.
In 2006 – 2010 the visits were supported by a 'VIDI subsidie' Stationary dynamics in infinite dimensions (639.032.510) in the 'Vernieuwingsimpuls' programme of the Netherlands Organization for Scientific Research (NWO). - Short course for graduate students: Pre-Riesz Spaces: Disjointness, Ideals, Bands; National Technical University Athens, Department of Mathematics, Athens, Greece, March 2006. Visiting lecturer within the ERASMUS programme (teaching staff mobility).
- Research visit at St. Petersburg State University, Mathematics and Mechanics Faculty, Russia, October – December 1999
Co-organizer of Workshops and Conferences
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IWOTA 2024, 35th International Workshop on Operator Theory and its Applications, University of Kent, Canterbury, UK, August 12 - 16, 2024; Special Session: Positive operators and their dynamics, gemeinsam mit Jochen Glück
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Workshop on Ordered Vector Spaces and Positive Operators, Wuppertal, March 2023, together with Jochen Glück and Sahiba Arora
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DMV Annual Meeting FU Berlin, September 2022, Section Functional Analysis, Real and Complex Analysis, together with Agnes Radl
- Workshop on Ordered Banach Spaces, Positive Operators and Applications,
TU Dresden, March 27-29, 2019,
funded by the DFG Grant: Ordnungserhaltende Operatoren in Problemen der optimalen Steuerung und in der Theorie der partiellen Differentialgleichungen CH 1282/5-1. - AIMS - International Conference on Dynamical Systems, Differential Equations and Applications, TU Dresden, May 2010.
Special Session Positive Systems, together with T. Damm. - Conference Positivity IV - Theory and Applications, TU Dresden, July 2005.
Selected Presentations on Conferences
- A functional representation approach to vector lattice covers for spaces of compact operators
Positivity XII - General conference on ordered structures and their applications, Conference Center of the TUI BLUE Manar Hammamet-Nabeul, Tunesia, June 2 - 7, 2025 - An order theoretical analysis of atomic JBW-algebras
Positivity XI, Ljubljana, Slovenia, July 2023 - Pre-Riesz Spaces
Workshop on Ordered Banach Spaces, Positive Operators and Applications,
TU Dresden, Germany, March 2019 - Ideals and Bands in Pre-Riesz Spaces
Positivity VIII, Southwest Jiaotong University, Chengdu, China, July 2015 - Directed Ideals in Partially Ordered Vector Spaces
Positivity VII, Universiteit Leiden, The Netherlands, July 2013 - Disjointness Preserving Operators on pre-Riesz Spaces
Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. A symposium held in Herrnhut, Germany, June 2013 - Collatz-Wielandt Sets and Common Linear Lyapunov Functions for Positive Switched Systems
POSTA 2012, Hamilton Institute, National University of Ireland, Maynooth, September 2012 - Characterization of Bands in Pre-Riesz Spaces by means of Functional Representation
International Conference on Ordered Spaces and Applications, National Technical University of Athens, Greece, November 2011 - Robust Stability of Positive Linear Systems
AIMS - International Conference on Dynamical Systems, Differential Equations and Applications, Dresden, May 2010 - Robustness of Positive Linear Systems
Positivity VI, El Escorial, Madrid, Spain, July 2009 - Stability Radii for Positive Systems
International Symposium on Positivity and its Applications in Science and Economics, Abant Izzet Baysal University Bolu, Turkey, September 2008 - Bands in Partially Ordered Vector Spaces
Conference Positivity V, Queens University Belfast, UK, July 2007 - Disjoint Complements in Partially Ordered Vector Spaces
Conference Positivity IV - Theory and Applications, TU Dresden, July 2005 - On Quasimonotone Increasing Operators on Ordered Normed Spaces
Conference Function Spaces VII, Adam Mickiewicz University Poznan, Poland, July 2003 - Positive-off-diagonal Operators on Ordered Normed Spaces
SAET Conference on Positivity, Rhodos, Greece, July 2003 - On a Special Class of Positively Invertible Operators
Conference Function Spaces VI, Wroclaw University of Technology, Poland, September 2001 - On certain Maximum Principles for Positive Operators
Conference Positivity and its Applications, Katholieke Universiteit Nijmegen, The Netherlands, July 2001