Uniform embeddings, homeomorphisms and quotient maps between Banach spaces (a short survey)
From MaRDI portal
Publication:1295308
DOI10.1016/S0166-8641(97)00153-3zbMath0929.46017arXivmath/9702210MaRDI QIDQ1295308
Publication date: 11 January 2000
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9702210
Banach spacesBanach latticeFréchet differentiableRadon-Nikodým propertyLipschitz mapsGâteaux differentiablenonlinear embeddingsLipschitz classificationLipschitz quotient mapnonlinear quotientsuniform homeomorphismsuniform quotient map
Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Uniform structures and generalizations (54E15) Embedding (54C25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Espaces de Banach superstables, distances stables et homeomorphismes uniformes
- Differentiability of Lipschitz functions on Banach spaces
- Existence of separable uniformly homeomorphic nonisomorphic Banach spaces
- Collected papers. Volumes 1,2. Ed. by Jürgen Moser
- Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces
- Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)
- On uniformly homeomorphic normed spaces. II
- The uniform nonequivalence of \(L_ p\) and \(\ell_ p\)
- The distortion problem
- On smooth, nonlinear surjections of Banach spaces
- An extension of a result of Ribe
- On uniform homeomorphisms of the unit spheres of certain Banach lattices
- Banach spaces determined by their uniform structures
- Affine approximation of Lipschitz functions and nonlinear quotients
- On a problem of Smirnov
- Uniform structures and square roots in topological groups. II
- Differentiability of Lipschitzian mappings between Banach spaces
- Uniform equivalence between Banach spaces
- Almost Fréchet differentiability of finitely many Lipschitz functions
- Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
- Stability of Isometries on Banach Spaces
- On the differentiability of Lipschitz mappings in Fréchet spaces