Continuous operators from spaces of Lipschitz functions
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Publication:6655415
DOI10.1007/s00025-024-02323-zMaRDI QIDQ6655415
J. Kakol, Damian Sobota, Christian Bargetz
Publication date: 23 December 2024
Published in: Results in Mathematics (Search for Journal in Brave)
densityweak topologiesLipschitz-free spacesGrothendieck spacesspaces of Lipschitz functionscontinuous operatorscontinuous surjections
Lipschitz (Hölder) classes (26A16) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Banach spaces of continuous, differentiable or analytic functions (46E15) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)
Cites Work
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- Banach spaces of continuous functions as dual spaces
- On the \(C_k\)-stable closure of the class of (separable) metrizable spaces
- Lipschitz-free spaces over ultrametric spaces
- On the weak and pointwise topologies in function spaces
- The Ascoli property for function spaces
- Networks for the weak topology of Banach and Fréchet spaces
- \(M\)-ideals in Banach spaces and Banach algebras
- Espaces de Banach superstables, distances stables et homeomorphismes uniformes
- Set theory. An introduction to independence proofs
- Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively
- Some remarks on the structure of Lipschitz-free spaces
- Lipschitz functions
- Separable L\(_1\) preduals are quotients of C(\(\Delta\))
- Grothendieck spaces: the landscape and perspectives
- On complemented copies of the space \(c_0\) in spaces \(C_p(X \times Y)\)
- Isomorphisms between spaces of Lipschitz functions
- Josefson-Nissenzweig property for \(C_p\)-spaces
- On the weak and pointwise topologies in function spaces. II.
- On nonlinear projections in Banach spaces
- On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
- On James's paper 'Separable conjugate spaces'
- A complementably universal conjugate Banach space and its relation to the approximation problem
- A predual of \(l_1\) which is not isomorphic to a C(K) space
- Finitely additive measures and complementability of Lipschitz-free spaces
- A \(C_p\)-theory problem book. Topological and function spaces
- On Lipschitz-free spaces over spheres of Banach spaces
- Topics in Banach Space Theory
- The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
- On the structure of Lipschitz-free spaces
- The Weak Topology of a Banach Space
- $H^{∞}$ is a Grothendieck space
- Compact reduction in Lipschitz-free spaces
- Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
- Espaces $K_\sigma$ et espaces des applications continues
- C(K, E) Contains a Complemented Copy of c 0
- Characterizing Hilbert space topology
- On topological classification of normed spaces endowed with the weak topology or the topology of compact convergence
- Lipschitz Algebras
- The Density Character of Function Spaces
- Lipschitz-free Banach spaces
- Copies of $C_0$ in Certain Vector-Valued Function Banach Spaces.
- On large ℓ₁-sums of Lipschitz-free spaces and applications
- Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions
- Products of Lipschitz-free spaces and applications
- An example concerning reflexivity
- Criteres de Compacite dans les Espaces Fonctionnels Generaux
- Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
- Biorthogonal systems in Banach spaces
- Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem
- On subspaces of spaces \(C_p(X)\) isomorphic to spaces \(c_0\) and \(\ell_q\) with the topology induced from \(\mathbb{R}^{\mathbb{N}}\)
- On complementability of \(c_0\) in spaces \(C(K\times L)\)
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