Univ.-Prof. Dr. Eva Kopecká

Tel.: +43 512 507 53940
Fax: +43 512 507 53898

E-Mail: Eva.Kopecka@uibk.ac.at

Technikerstraße 13, 7.OG, Zi.-Nr.: 725
A-6020 Innsbruck

Sprechstunden: Bitte um Terminvereinbarung per E-Mail


Fields of interest

Functional Analysis, Geometry of Banach Spaces, Nonlinear Analysis, Combinatorics

Teaching

Lehrveranstaltungen im SoSe 2024

  • Diskrete Mathematik, VO 3
    Di 12.45 - 13.30 Uhr, HS G, Mi 15.30 - 17.00 Uhr, HS  10
  • Diskrete Mathematik, PS 2
    Di 13.45 - 15.15 Uhr, HS G
  • Einführung in die höhere Analysis (gemeinsam mit Birgit Schörkhuber), VO 2 
    Di 08.30 - 10.00 Uhr, HS D
  • Forschungsseminar: Funktionalanalysis, SE 2
    Di 17.15 - 18.45 Uhr, HS D


Recent publications

  • P.A. Borodin, E. Kopecká, Weak limits of consecutive projections or greedy steps, to
    appear in Trudy Mat. Inst. Steklova dedicated to the 70th birthday of academician B.S. Kashin.
  • P.A. Borodin, E. Kopecká, Sequences of m-term deviations in Hilbert space, to appear in J. of Approximation Theory.
  • P.A. Borodin, E. Kopecká, Alternating projections, remotest projections, and greedy
    approximation, J. of Approximation Theory 260 (2020), 105486.
  • E. Kopecká, When products of projections diverge, J. London Math. Soc. (2) 102 (2020), 345-367.
  • M. Dymond, V. Kaluža, E. Kopecká, Mapping n grid points onto a square forces an arbitrary large Lipschitz constant, Geom. Funct. Anal. Vol. 28 (2018), 589-644.
  • E. Kopecká, A. Paszkiewicz: Strange products of projections, Israel J. Math. 219 (2017), 271–286. (arxiv)
  • E. Kopecká, V. Müller: A product of three projections. Studia Math. 223 (2014), 175-186. doi:10.4064/sm223-2-4
  • E. Kopecká, S. Reich, Approximating fixed points in the Hilbert ball, J. Nonlinear Convex Anal. 15 (2014), 819–829 (link)
  • E. Kopecká, S. Reich, A note on alternating projections in Hilbert space, J. Fixed Point Theory Appl. 12 (2012), 41–47. doi:10.1007/s11784-013-0097-4
  • E. Kopecká, Bootstrapping Kirszbraun's extension theorem, Fund. Math. 217 (2012), 13–19. doi:10.4064/fm217-1-2
  • E. Kopecká, Extending Lipschitz mappings continuously, J. Applied Anal. 18 (2012), 167–177. doi:10.1515/jaa-2012-0011
  • E. Kopecká, D. Reem, S. Reich, Zone diagrams in compact subsets of uniformly convex normed spaces, Israel J. Math. 188 (2012), 1–23 doi:10.1007/s11856-011-0094-5 (arxiv).
  • E. Kopecká, S. Reich, Continuous extension operators and convexity, Nonlinear Anal. 74 (2011), 6907–6910. doi:10.1016/j.na.2011.07.013
  • E. Kopecká, S. Reich, Alternating projections and orthogonal decompositions, J. Nonlinear Convex Anal. 12 (2011), 155–159. (link)
  • E. Kopecká, S. Reich, Another note on the von Neumann alternating projections algorithm, J. Nonlinear Convex Anal. 11 (2010), 455–460. (link)
  • E. Kopecká, D. Reem, S. Reich, Existence of zone diagrams in compact subsets of uniformly convex spaces, CCCG 2010, University of Manitoba, 17–20. (link)
  • E. Kopecká, S. Reich, A mean ergodic theorem for nonlinear semigroups on the Hilbert ball, J. Nonlinear Convex Anal. 11 (2010), 185–197. (link)
  • B. Kirchheim, E. Kopecká, S. Müller, Monotone curves, Math. Ann. 351 (2011), 81–94. doi: 10.1007/s00208-010-0594-3
  • E. Kopecká, S. Reich, Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball, Nonlinear Anal. 70 (2009), 3187–3194. doi:10.1016/j.na.2008.04.023
  • B. Kirchheim, E. Kopecká, S. Müller, Do projections stay close together?, J. Math. Anal. Appl. 350 (2009), 859–871. doi:10.1016/j.jmaa.2008.09.039
  • E. Kopecká, S. Reich, A note on the approximation of fixed points in the Hilbert ball, J. Nonlinear Convex Anal. 9 (2008), 361–367. (link)
  • E. Kopecká, Spokes, mirrors and alternating projections, Nonlinear Anal. 68 (2008), 1759–1764. doi:10.1016/j.na.2007.01.006
  • E. Kopecká, S. Reich, Nonexpansive retracts in Banach spaces, Banach Center Publications 77 (2007), 161–174. doi: 10.4064/bc77-0-12
  • E. Kopecká, Small set in a large box, Math Notes (Mat. Zametki) 81 (2007), 308-317. doi: 10.1134/S0001434607030054
    See also Real Analysis Exchange, Summer Symposium 2007, 135–140.
  • E. Kopecká, S. Reich, Hyperbolic monotonicity in the Hilbert ball, Fixed Point Theory Appl. 2006 (5) (2006), 1–15. doi: 10.1155/FPTA/2006/78104
  • E. Kopecká, Almost isometries and orthogonality, J. Funct. Anal. 222 (2005), 253–273. doi: 10.1016/j.jfa.2005.01.006

Projects

Former Projects

  • Lipschitz Mappings and Homeomorphisms (FWF P16674-N12)
  • Lipschitz Mappings and Homeomorphisms (FWF P19643-N18)
  • Contractions: Extensions, Isometries, and Projections (FWF P23628-N18)

 

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