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Wizytówka - Wydział Matematyki i Informatyki

Selected books

  • Leokadia Białas-Cież, Grzegorz Lewicki, Tomasz Kobos, „Podstawy teorii aproksymacji w zadaniach”, PWN, 2022

Most significant publications

  • Tomasz Kobos, EXTREMAL BANACH–MAZUR DISTANCE BETWEEN A SYMMETRIC CONVEX BODY AND AN ARBITRARY CONVEX BODY ON THE PLANE, Mathematika 66 (2020), 161-177
  • Tomasz Kobos, Stability Result for the Extremal Grünbaum Distance Between Convex Bodies, Journal of Convex Analysis 26 (2019), 1275-1294
  • Tomasz Kobos, A uniform estimate of the relative projection constant, Journal of Approximation Theory 225 (2018), 58-75
  • Tomasz Kobos, HYPERPLANES OF FINITE-DIMENSIONAL NORMED SPACES WITH THE MAXIMAL RELATIVE PROJECTION CONSTANT, Bulletin of the Australian Mathematical Society 91 (2015), 447-463
  • Tomasz Kobos, Equilateral Dimension of Certain Classes of Normed Spaces, Numerical Functional Analysis and Optimization 35 (10) (2014), 1340-1358

Recent publications

  • Florian Grundbacher, Tomasz Kobos, On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids, Mathematika 72 (2026),
  • Tomasz Kobos, Grzegorz Lewicki, 2-strong uniqueness of a best approximation and of minimal projections in complex polytope norms and their duals, Journal of Approximation Theory 314 (2026), 106245
  • Tomasz Kobos, Konrad Swanepoel, Equilateral dimension of the planar Banach–Mazur compactum, Proceedings of the American Mathematical Society 153 (2025), 4423-4436
  • Tomasz Kobos, Varivoda Marin, On the Banach–Mazur Distance in Small Dimensions, Discrete and Computational Geometry 74 (2025), 399-427
  • Tomasz Kobos, Grzegorz Lewicki, On the dimension of the set of minimal projections, Journal of Mathematical Analysis and Applications 529 (2024), 127250

Interests

-Finite-dimensional normed spaces

-Convex and discrete geometry

-Equilateral sets

-Minimal projections

-Banach-Mazur distance

avatar for Tomasz Kobos

Tomasz Kobos

academic degree/title Doctor of Philosophy (PhD) position
research and faculty staff member group, assistant professor
unit
  • Department of Approximation Theory
  • Institute of Mathematics
contact
tomasz.kobos@uj.edu.pl