Christian Bargetz

| +43 512 507 53873

| christian.bargetz [at] uibk.ac.at

| Technikerstraße 13, 7.OG, Zi.-Nr.: 727

Aktuelle Lehrveranstaltungen

Sprechstunde

Nach Terminvereinbarung (per E-Mail).

Lehrveranstaltungen im Wintersemster 2026/27

VO Analysis 3
Montag, 10:15-11:45, HS F
Mittwoch, 12:00-13:30, HS E
PS Analysis 3
Dienstag, 12:00-13:30, HS F (Gruppe 1)
Dienstag, 13:45-15:15 HS F (Gruppe 2)

Studierende im neue Studienplan Mathematik und Studierende anderer Studien, die nur einen Teil der Veranstaltung als Wahlfach besuchen möchten, können alternativ Teile dieser Lehrveranstaltung auch in Form der folgenden Lehrveranstaltung besuchen.

VU Funktionentheorie/komplexe Analysis (geblockt auf die erste Hälfte des Semesters)
Montag, 10:15-11:45, HS F
Mittwoch, 12:00-13:30, HS E
Dienstag, 12:00-13:30, HS F oder 13:45-15:15 HS F
VO Gewöhnliche Differentialgleichungen (geblockt auf die zweite Hälfte des Semesters)
Montag, 10:15-11:45, HS F
Mittwoch, 12:00-13:30, HS E
UE Gewöhnliche Differentialgleichungen (geblockt auf die zweite Hälfte des Semesters)
Dienstag, 12:00-13:30, HS F (Gruppe 1)
Dienstag, 13:45-15:15 HS F (Gruppe 2)

Themenvorschläge für Bachelorarbeiten

Extension operators for smooth and Lipschitz functions
Birkhoff–James orthogonality in Banach spaces
Characterisations of Hilbert spaces among Banach spaces

Informationen zum Ablauf des Bachelorseminars

Forschungsinteressen

Nichtlineare Funktionalanalysis: Iterative (Projektions-)Methoden in Hilbert und Banachräumen, Generische Eigenschaften nichtexpansiver Abbildungen
Theorie lokalkonvexer Räume: Fréchet-Räume, Folgenraumdarstellungen, topologische Tensorprodukte
Verallgemeinerte Funktionen: vektorwertige Distributionen

Publikationen

Preprints zu meinen neueren Publikationen finden Sie auf arXiv.

Preprints

Christian Bargetz und Leon Kügler: Some observations on transitivity of Lipschitz operators. arXiv: 2609.07921

Zeitschriftenartikel

C. Bargetz, M. Dymond und K. Pirk: On extremal nonexpansive mappings. Z. Anal. Anwend. (2025), published online first
DOI: 10.4171/ZAA/1795, arXiv:2409.04292
C. Bargetz, J. Kąkol und D. Sobota: Continuous operators from spaces of Lipschitz functions. Results Math 80, 5 (2025). DOI: 10.1007/s00025-024-02323-z ,arXiv:2405.09930
C. Bargetz, F. Luggin und T. Russo: Tilings of the Hyperbolic Space and Lipschitz Functions. Canad. J. Math. Vol. 77 (6), 2025 pp. 1985–2005 . DOI: 10.4153/S0008414X24000804, arXiv:2402.04201
C. Bargetz, A. Bartoš, W. Kubiś, und F. Luggin: Homogeneous isosceles-free spaces. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 118 (2024). 10.1007/s13398-024-01587-y, arXiv:2305.03163
C. Bargetz und F. Luggin: Observations on the metric projection in finite dimensional Banach spaces. Appl. Set-Valued Anal. Optim. 6 (2024), 41-52, DOI: 10.23952/asvao.6.2024.1.04, arXiv:2305.19908
C. Bargetz, J. Kąkol, and D. Sobota, On complemented copies of the space \(c_0\) in spaces \(C_p(X,E)\), Math. Nachr. 297(2): 644-656. 2024. DOI: 10.1002/mana.202300026, arxiv:2107.03211
C. Bargetz, S. Reich und D. Thimm, Generic properties of nonexpansive mappings on unbounded domains. J. Math. Anal. Appl. 526(1): Article 127179, 2023. DOI: 10.1016/j.jmaa.2023.127179, arXiv:2204.10279
C. Bargetz, E. A. Nigsch und N. Ortner, Projective descriptions of spaces of functions and distributions. Math. Nachr. 296(3): 915-937, 2023 DOI: 10.1002/mana.202100526, arxiv:2109.14448
C. Bargetz, E. Medjic, and K. Pirk: On generic convergence of successive approximations of mappings with convex and compact point images. Monatsh. Math. 202: 659–683, 2023. DOI: 10.1007/s00605-022-01813-y, arXiv:2211.02298
C. Bargetz, A. Debrouwere, E. A. Nigsch: Sequence space representations for spaces of smooth functions and distributions via Wilson bases. Proc. Amer. Math. Soc. 150: 3841-3852, 2022, DOI: 10.1090/proc/15895, arxiv:2107.00245
C. Bargetz, M. Dymond, E. Medjic and S. Reich: On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature. Topol. Methods Nonlinear Anal. 57(2): 621–634, 2021, DOI: 10.12775/TMNA.2020.040, arXiv:2004.02567
C. Bargetz, E. A. Nigsch und N. Ortner: A simpler description of the \(\kappa\)-topologies on the spaces \(\mathscr{D}_{L^p}\), \(L^p\), \(\mathscr{M}^1\). Mathematische Nachrichten. 293(9): 1691–1706, 2020, DOI: 10.1002/mana.201900109, arXiv:1711.06577
C. Bargetz, J. Klemenc, S. Reich und N. Skorokhod: On angles, projections and iterations. Linear Algebra Appl. 603 (2020): 41–56, DOI: 10.1016/j.laa.2020.05.023, arXiv:2004.07540
C. Bargetz und E. Medjic: On the rate of convergence of iterated Bregman projections and of the alternating algorithm. J. Math. Anal. Appl. 481(1): Article 123482, 2020, DOI: 10.1016/j.jmaa.2019.123482, arXiv:1905.00605
C. Bargetz und S. Reich: Generic Convergence of Sequences of Successive Approximations in Banach Spaces. Pure and Applied Functional Analysis 4(3): 477–493, 2019, arXiv:1903.10924, Link
C. Bargetz, V. I. Kolobov, S. Reich, R. Zalas: Linear Convergence Rates for Extrapolated Fixed Point Algorithms. Optimization 68(1): 163–195, 2019, DOI: 10.1080/02331934.2018.1512109, arXiv:1805.03932
C. Bargetz und N. Ortner: Kernel Identities and Vectorial Regularizations. Monatsh. Math. 186(2): 201–PS/2 Analysis 4214, 2018, DOI: 10.1007/s00605-017-1076-4, arXiv:1509.07630
C. Bargetz, S. Reich and R. Zalas: Convergence Properties of Dynamic String Averaging Projection Methods in the Presence of Perturbations. Numerical Algorithms 77(1): 185–209, 2018, DOI: 10.1007/s11075-017-0310-4, arXiv:1703.07803
C. Bargetz und S.-A. Wegner: Pivot duality of universal interpolation and extrapolation spaces. Journal of Mathematical Analysis and Applications, 460(1): 321–331, 2018, DOI: 10.1016/j.jmaa.2017.11.042, arXiv:1604.00763
C. Bargetz, M. Dymond und S. Reich: Porosity Results for Sets of Strict Contractions on Geodesic Metric Spaces. Topol. Methods Nonlinear Anal. 50(1):89–124, 2017, DOI: 10.12775/TMNA.2017.013, arXiv:1602.05230
C. Bargetz, E. A. Nigsch, and N. Ortner: Convolvability and regularization of distributions. Annali di Matematica 196(6): 2239–2251, 2017, DOI: 10.1007/s10231-017-0662-3, arXiv:1505.04599
C. Bargetz, J. Kąkol und W. Kubiś: A separable Fréchet space of almost universal disposition. J. Funct. Anal. 272(5): 1876–1891, 2017, DOI: 10.1016/j.jfa.2016.09.019, arXiv:1603.06361
C. Bargetz und M. Dymond: σ-Porosity of the set of strict contractions in a space of non-expansive mappings. Israel J. Math. 214(1): 235–244, 2016, DOI: 10.1007/s11856-016-1372-z, arXiv:1505.07656
C. Bargetz: Completing the Valdivia–Vogt tables of sequence-space representations of spaces of smooth functions and distributions. Monatsh. Math. 177(1): 1–14, 2015. DOI: 10.1007/s00605-014-0650-2
C. Bargetz: Explicit representations of spaces of smooth functions and distributions. J. Math. Anal. Appl. 424: 149–1505. 2015 DOI: 10.1016/j.jmaa.2014.12.009
C. Bargetz und N. Ortner: Solution to the Cauchy problem for quasi-hyperbolic systems by vector-valued convolution. Appl. Anal. 94(11): 2355–2369, 2015. DOI: 10.1080/00036811.2014.985213
C. Bargetz und N. Ortner: Characterization of L. Schwartz' convolutor and multiplier spaces \(\mathcal{O}_{C}'\) and \(\mathcal{O}_M\) by the short-time Fourier transform. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 108 (2): 833–847, 2014. DOI: 10.1007/s13398-013-0144-4
C. Bargetz: Commutativity of the Valdivia–Vogt table of representations of function spaces. Mathematische Nachrichten 287(1): 10–22, 2014. DOI: 10.1002/mana.201200258
C. Bargetz und N. Ortner: Convolution of vector-valued distributions: A survey and comparison. Dissertationes Mathematicae 495: 51 pp.,2013. DOI: 10.4064/dm495-0-1
C. Bargetz: A sequence space representation of L. Schwartz' space \(\mathcal{O}_C\). Archiv der Mathematik 98(4): 317-326, 2012. DOI: 10.1007/s00013-012-0373-3
C. Bargetz: Convolution of Distribution-Valued Functions. Applications. Revista Colombiana de Matemáticas 45(1): 51-80, 2011. Link

Abschlussarbeiten

C. Bargetz: Topological Tensor Products and the Convolution of Vector-Valued Distributions. Dissertation. Universität Innsbruck. 2012. Betreuer: ao.Univ.-Prof. Norbert Ortner
C. Bargetz: Impulsive Solutions of Differential Behaviors. Diplomarbeit. Universität Innsbruck, 2008. Betreuer: o.Univ.-Prof. Ulrich Oberst

Projekte

Abgeschlossene Projekte

Generische Eigenschaften nichtexpansiver Abbildungen (FWF P 32523, Projektseite)
Banachräume stetiger und Lipschitz-Funktionen (FWF-GA ČR joint project, I 4570, Projektwebseite)
Iterative Projection Methods in Banach Spaces, Tiroler Wissenschaftsförderung (Projektwebseite)

Konferenzen

Geplante Konferenzteilnahmen

Besuchte Konferenzen

2026

International Conference on Generalized Functions GF2026, 23-27 August 2026, Ohrid, N. Macedonia
Topological Methods in Functional Analysis and Measure Theory, 23–26 June 2026, Poznan, Poland

2025

Annual 2025 ÖMG-DMV Meeting, Linz, 1.-5. September 2025
Structures in Banach Spaces, Erwin Schrödinger Institute, Wien, 17.-21. März 2025 (Link)

2024

Analysis Seminar Innsbruck 2024, 24.-27. September 2024
Banach spaces for analysts. A conference in honor of Professor Przemysław Wojtaszczyk. Będlewo, 14.-19. Juli 2024

2023

Conference on Generic Structures, Bedlewo, 23.-27. Oktober 2023
Bremen-Hamburg²-Kiel Seminar, Hamburg, 14. Juli 2023
50th Winter School in Abstract Analysis, Sněžné, 7.-14. Jänner 2023

2022

International Conference on Generalized Functions, GF2022, 19.-23. September 2022
DMV Annual Meeting 2022, FU Berlin, 12.-16. September 2022
36th Summer Topology Conference, 18.-22. Juli 2022, Wien

2021

DMV-ÖMG Annual Conference 2021, University of Passau, 27. September–1. Oktober 2021
13th International ISAAC Congress, Ghent University@Zoom, 2.–6. August 2021

2020

DMV Jahrestagung 2020, 14.–17. September 2020
48th Winter School in Abstract Analysis. Section Analysis. Svratka, 11.–18. Januar 2020

2019

Analysis Seminar Innsbruck, 15.–17. November 2019
Workshop WDI², Passau, 11. Oktober 2019
ÖMG Conference 2019, Dornbirn, Austria, 16.–20. September 2019
12th ISAAC Congress, University of Aveiro, Portugal, 29. July–2.August 2019
Selected topics in stochastic geometry, Spring School, TU Darmstadt, 25. Februar–1. März 2019
47^th Winter School in Abstract Analysis. Section Analysis. Svratka, 12.–19. Jänner 2019

2018

CSASC 2018–Joint Meeting of the Czech, Slovenian, Austrian, Slovak and Catalan Mathematical Societies, Bratislava, Slovakia, 11.–14. September, 2018
International Conference on Generalized Functions GF2018, Novi Sad, Serbia, 27.–31. August, 2018 (link)
Workshop on Nonlinear Analysis and Optimization, The Technion, Haifa, 20. August 2018 (link)
Paweł Domański Memorial Conference, Będlewo, Poland, 1.–7. Juli 2018
Analysis Seminar, Traunkirchen, Austria, 8.–10. Juni, 2018 (Link)
Workshop: Wien – Innsbruck – Novi Sad, Innsbruck, 11.–14. Februar 2018
46^th Winter School in Abstract Analysis. Section Analysis. Svratka, 13.–20. Jänner 2018

2017

Conference on Non Linear Functional Analysis, Valencia, 17–20 October 2017 (Link)
19th ÖMG Congress and Annual DMV Meeting, Paris-Lodron University of Salzburg, 11–15 September 2017 (Link)
7th German-Polish Conference on Optimization, 27 August 2017 - 1 September 2017, Będlewo (Link)
Septièmes journées Besançon-Neuchâtel d’analyse fonctionnelle. 20-23 juin 2017, Besançon (Link)
Workshop on Nonlinear Analysis and Optimization, The Technion, Haifa, 7. Februar 2017 (Link)
45^th Winter School in Abstract Analysis. Section Analysis. Svratka, 14.–21. Jänner 2017

2016

Analysis Seminar Innsbruck 2016, 4.–6. November 2016 (Link)
44th Winter School in Abstract Analysis. Section Analysis. Svratka, 16.–23. Jänner 2016

2015

Relations Between Banach Space Theory and Geometric Measure Theory, Warwick, 8. –12. Juni 2015 (Link)
Workshop on Functional Analysis Valencia 2015 on the occasion of the 60th birthday of José Bonet,
Valencia, 15. –19. Juni 2015 (Link)
49. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Basel, 9.–13. Feber 2015
43rd Winter School in Abstract Analysis. Section Analysis. Svratka, 10.–17. Jänner 2015

2014

Analysis Seminar Innsbruck 2014, 24. – 26. Oktober 2014 (Link)
Joint Meeting of the German Mathematical Society (DMV) and the Polish Mathematical Society (PTM),
Poznań, 17.–20. September 2014 (Link)
Young Functional Analysts' Meeting 2014, Debrecen, 11.–13. April 2014
42nd Winter School in Abstract Analysis. Section Analysis. Svratka, 11.–18. Jänner 2014

2013

Analysis Seminar Innsbruck 2013, 29. November – 1. December 2013 (Link)
18th ÖMG Congress and Annual DMV Meeting University of Innsbruck, 23.–27. September 2013 (Link)
Workshop on Functional Analysis Valencia 2013 on the occasion of the 60th birthday of Andreas Defant (Link)

2012

Functional Analysis: Applications to Complex Analysis and Partial Differential Equations 2012 organized in honor of Dietmar Vogt on the occasion of his 70th birthday (Link)
37^th Annual International Conference on Improving University Teaching Innsbruck, Austria 2012

Skripten (in der Studia erhältlich)

C. Bargetz und B. Schörkhuber: Analysis 1
C. Bargetz und M. Dymond: Lipschitz Mappings and geometric properties of Banach Spaces. Sommersemester 2017
C. Bargetz: Lineare Algebra und Analytische Geometrie 2. Sommersemester 2017
C. Bargetz: Distributionentheorie und Anwendungen. Sommersemester 2012