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1 995 (0,084s) •

Project

Lipschitz mapping and null sets (IAA1019103)

Lipschitz mappings between Euclidian spaces enjovy many pleasant properties. For example, they are smooth almost everywhere, preserve Lebesgue null sets, and almost isometries can be very well approximated by isometries. Some of the...

BA - Obecná matematika

  • 2001 - 2003
    • •
  • 815 tis. Kč
    • •
  • 395 tis. Kč
    • •
  • AV ČR
Project

Nonlinear analysis in Banach spaces (GA16-07378S)

continuous and coarse mappings b) Lipschitz isomorphism c) Lipschitz free spaces dWe plan to investigate problems concerning uniformly continuous and Lipschitz mappings between Banach spaces and their ...

BA - Obecná matematika

  • 2016 - 2018
    • •
  • 3 318 tis. Kč
    • •
  • 3 207 tis. Kč
    • •
  • GA ČR
Project

Nonlinear functional analysis (GAP201/11/0345)

properties of uniform mappings, their reduction to Lipschitz mappings, and their metric properties. 2. Linearization properties of Lipschitz mappings, in particularThe subject of our proposal are abstract...

BA - Obecná matematika

  • 2011 - 2015
    • •
  • 5 136 tis. Kč
    • •
  • 5 136 tis. Kč
    • •
  • GA ČR
Project

Theory of real functions and its applications in geometry (GA15-08218S)

with curvature. We will also investigate nearly Lipschitz mappings, strong measure zero sets of weakly differentiable mappings (elements of a function space), which will investigate differentiability of convex and Lips...

BA - Obecná matematika

  • 2015 - 2017
    • •
  • 4 301 tis. Kč
    • •
  • 4 301 tis. Kč
    • •
  • GA ČR
Project

The structure of free Banach spaces and of their second duals (GA22-32829S)

in it and that any Lipschitz map from M to a Banach space extends uniquely to a bounded linear map from the free space. This allows the linearization of nonlinear problems project. The free space lies in the dual of the sp...

Pure mathematics

  • 2022 - 2024
    • •
  • 3 429 tis. Kč
    • •
  • 3 429 tis. Kč
    • •
  • GA ČR
Project

Selected topics in non-linear functional analysis and approximation theory (GJ18-00960Y)

is so-called Lipschitz-free Banach spaces, the preduals of spaces of Lipschitz functions, which provide an abstract linearization of Lipschitz maps between metricNon-linear functional analysis deals with problems ...

Pure mathematics

  • 2018 - 2021
    • •
  • 6 442 tis. Kč
    • •
  • 6 442 tis. Kč
    • •
  • GA ČR
Project

Topological and geometric structures in Banach spaces (IAA100190901)

uniformly Kadec-Klee norms, Lipschitz homeomorphisms, Markushevich bases, extensions of special Lipschitz mappings, retracts, absolutely minimal Lipschitz functions, Gurarij......

BA - Obecná matematika

  • 2009 - 2011
    • •
  • 2 274 tis. Kč
    • •
  • 2 274 tis. Kč
    • •
  • AV ČR
Project

Properties of functions and mappings in Sobolev spaces (LL1203)

differentiable functions and mappings, problems with invertibility and change of variables, regularity of the composition operator, mapping of negligible sets to negligible sets, and problems of the theory of lipschitz fun...

BA - Obecná matematika

  • 2012 - 2017
    • •
  • 17 225 tis. Kč
    • •
  • 17 225 tis. Kč
    • •
  • MŠMT
Project

Interplay of algebraic, metric, geometric and topological structures on Banach spaces (GA23-04776S)

and to problems on the border lines: 1) Explore the stucture and properties of Lipschitz-free spaces with aim to describe to what extent the Lipschitz structure of a separable of orthogonality preserving maps and the stru...

Pure mathematics

  • 2023 - 2025
    • •
  • 8 396 tis. Kč
    • •
  • 7 689 tis. Kč
    • •
  • GA ČR
Project

Banach spaces of continuous and Lipschitz functions (GF20-22230L)

The supreme goal of this project is to study Banach spaces of continuous and Lipschitz functions over compact spaces from the points of view of various branches of mathematics. Since every Banach space can be isometrically embedded into a Ba...

Pure mathematics

  • 2020 - 2023
    • •
  • 6 715 tis. Kč
    • •
  • 6 715 tis. Kč
    • •
  • GA ČR
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