Christian Bargetz


Christian Bargetz

Tel.: +43 512 507 53873
Fax: +43 512 507 53899
E-Mail: christian.bargetz [at] uibk.ac.at
Technikerstraße 13, 7.OG, Zi.-Nr.: 727
A-6020 Innsbruck


Current Teaching Fields of Interest Publications and Preprints Conferences

Current Teaching

Office hours during the winter term 2017/18

By appointment via email.

Courses in the Winter Term 2017/18

Suggested Topics for Bachelor theses

Information on the organisation of the Bachelor seminar

Fields of Interest

  • Nonlinear functional analysis: Iterative methods in Hilbert and Banach spaces, Generic properties of nonexpansive mappings
  • Theory of locally convex spaces: Fréchet spaces, Sequence space representations, topological tensor products
  • Generalized Functions: vector-valued distributions

Publications

Preprints

  • C. Bargetz, E. A. Nigsch and N. Ortner: A simpler description of the \(\kappa\)-topologies on the spaces \(\mathscr{D}_{L^p}\), \(L^p\), \(\mathscr{M}^1\). (submitted, arXiv:1711.06577)

Journal Publications

  1. C. Bargetz and S.-A. Wegner: Pivot duality of universal interpolation and extrapolation spaces. Journal of Mathematical Analysis and Applications, Online First, DOI: 10.1016/j.jmaa.2017.11.042, arXiv:1604.00763
  2. C. Bargetz and N. Ortner: Kernel Identities and Vectorial Regularizations. Monatsh. Math. Online First (2017), DOI: 10.1007/s00605-017-1076-4, arXiv:1509.07630
  3. C. Bargetz, S. Reich and R. Zalas: Convergence Properties of Dynamic String Averaging Projection Methods in the Presence of Perturbations. Numerical Algorithms. Online First (2017), DOI: 10.1007/s11075-017-0310-4, arXiv:1703.07803
  4. 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
  5. 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
  6. 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
  7. C. Bargetz and 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
  8. C. Bargetz: Completing the Valdivia–Vogt tables of sequence-space representations of spaces of smooth functions and distributions. Monatsh. Math. 177(1): 114, 2015. DOI: 10.1007/s00605-014-0650-2
  9. C. Bargetz: Explicit representations of spaces of smooth functions and distributions. J. Math. Anal. Appl. 424: 1491–1505. 2015. DOI: 10.1016/j.jmaa.2014.12.009
  10. C. Bargetz and N. Ortner: Solution to the Cauchy problem for quasi-hyperbolic systems by vector-valued convolution. Appl. Anal. 94(11): 23552369, 2015. DOI: 10.1080/00036811.2014.985213
  11. C. Bargetz and 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
  12. 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
  13. C. Bargetz and N. Ortner: Convolution of vector-valued distributions: A survey and comparison. Dissertationes Mathematicae 495: 51 pp.,2013. DOI: 10.4064/dm495-0-1
  14. 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
  15. C. Bargetz: Convolution of Distribution-Valued Functions. Applications. Revista Colombiana de Matemáticas 45(1): 51-80, 2011

Theses

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

Conferences

Upcoming Conferences

  • 46th Winter School in Abstract Analysis, Svratka, 13–20 January 2018 (link)

Attended Conferences

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 February 2017 (link)

45th Winter School in Abstract Analysis. Section Analysis. Svratka, 14–21 January 2017
2016 Analysis Seminar Innsbruck 2016, 4–6 November 2016 (link)

44th Winter School in Abstract Analysis. Section Analysis. Svratka, 16–23 January 2016 (slides)
2015 Relations Between Banach Space Theory and Geometric Measure Theory, Warwick, 8–12 June 2015 (link, slides)
  Workshop on Functional Analysis Valencia 2015 on the occasion of the 60th birthday of José Bonet,
Valencia, 15–19 June 2015 (link, slides)
  49. Jahrestagung  der Gesellschaft für Didaktik der Mathematik, Basel, 9–13 February 2015 (poster)
  43rd Winter School in Abstract Analysis. Section Analysis. Svratka, 10–17 January 2015
2014
Analysis Seminar Innsbruck 2014, 24–26 October 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 January 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, slides)
2012 37th Annual International Conference on Improving University Teaching Innsbruck, Austria 2012 (slides)
  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, slides)

Lecture Notes

(in German)

  • C. Bargetz and M. Dymond: Lipschitz Mappings and geometric properties of Banach Spaces. Summer term 2017
  • C. Bargetz: Lineare Algebra und Analytische Geometrie 2. Summer term 2017
  • C. Bargetz: Distributionentheorie und Anwendungen. Summer term 2012

Past Teaching

Summer term 2017 VO/4 Linear Algebra and Geometry 2
OLAT course • First problem sheet OLAT course for the exercises

VU/4 Lipschitz mappings and geometric properties of Banach spaces
OLAT course
Winter term 2016/17 PS/2 Linear Algebra 1 for Physicists
Summer term 2015 VO/4 Linear Algebra and Geometry 2
  SE/2 Seminar
Winter term 2014/15 SL/1 Linear Algebra and Geometry 1
  PS/1 Linear Algebra and Geometry 1
Summer term 2014 VO/4 Linear Algebra and Geometry 2
  PS/2 Linear Algebra and Geometry 2
Winter term 2013/14 SL/1 Linear Algebra and Geometry 1
  PS/1 Linear Algebra and Geometry 1
Summer term 2013 SL/1 Analysis 1
  PS/1 Analysis 2
  PS/2 Analysis 2
  SE/2 Seminar with Bachelor thesis
Winter term 2012/13 PS/2 Analysis 1
Summer term 2012 VO/2 Distribution Theory and Applications
Winter term 2011/12 PS/2 Analysis 3
Summer term 2011 PS/2 Analysis 2
Winter term 2010/11 PR/1 Introduction to Mathematics 2
  PS/2 Optimisation
Wintersemester 2009/10 PS/2 Introduction to Mathematics 2
  PR/1 Introduction to Mathematics 2
  UE/4 Programming Language 1, Tutorial
Wintersemester 2008/09 PR/1 Introduction to Mathematics 2