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2 904 (0,122s) •

Project

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

project. The free space lies in the dual of the space of Lipschitz functions and formsFree Banach spaces play an important role in the study of nonlinear geometry in it and that any Lipschitz...

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) and approximation properties of Lipschitz-free spaces. Next, we plan to address the question of v...

Pure mathematics

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

Nonlinear analysis in Banach spaces (GA16-07378S)

continuous and coarse mappings b) Lipschitz isomorphism c) Lipschitz free spaces d space $X$ a Lipschitz retract of $X^{**}$? What are the properties of complementedWe plan to investigate prob...

BA - Obecná matematika

  • 2016 - 2018
    • •
  • 3 318 tis. Kč
    • •
  • 3 207 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 isome...

Pure mathematics

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

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

, algebraic) on a Banach space determine each other. We focus on four main goals and to problems on the border lines: 1) Explore the stucture and properties of Lipschitz-free spaces with aim to describe to what ex...

Pure mathematics

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

Lipschitz mapping and null sets (IAA1019103)

Lipschitz mappings between Euclidian spaces enjovy many pleasant properties also established infinite dimensional Banach spaces, some are not clear even in separable Hilbert space. For example, it is of interested ...

BA - Obecná matematika

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

Dynamical systems and Banach spaces (GJ17-04197Y)

, Banach spaces and their relationship. Main research areas are the following: Lipschitz-free Banach spaces, compact sets constructed using resolutions, descriptive set theory, group actions on Polish spaces

BA - Obecná matematika

  • 2017 - 2019
    • •
  • 2 493 tis. Kč
    • •
  • 2 493 tis. Kč
    • •
  • GA ČR
Project

Topological and geometric structures in Banach spaces (IAA100190901)

Stability of weak Asplund spaces and Gateaux differentiability spaces, Banach spaces with projectional skeleton, stability of Valdivia compacta, topological characterizations of some classes of Banach spaces, compa...

BA - Obecná matematika

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

Nonlinear functional analysis (GAP201/11/0345)

sphere? Are Lipschitz isomorphic separable Banach spaces linearly isomorphic? What between Banach spaces and their subsets. For easier orientation, it is convenient properties of uniform mappings, their reduction to Li...

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)

of weakly differentiable mappings (elements of a function space), which will investigate differentiability of convex and Lipschitz functions on infinite dimensional spaces. We will continue the study of DC (delta-convex) f...

BA - Obecná matematika

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