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)