Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions
DOI10.1090/S0002-9939-2013-11834-4zbMath1286.58003arXiv1108.5403OpenAlexW2112837402MaRDI QIDQ5401689
Mar Jiménez-Sevilla, Luis Sánchez González, Jesús Angel Jaramillo
Publication date: 11 March 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.5403
Function spaces in general topology (54C35) Geometry and structure of normed linear spaces (46B20) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Differentiability questions for infinite-dimensional manifolds (58B10) Rings and algebras of continuous, differentiable or analytic functions (46E25) Infinite-dimensional manifolds (46T05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler manifolds
- Approximation de fonctions différentiables sur certains espaces de Banach
- Algebras of uniformly continuous functions
- Smooth approximation of Lipschitz functions on Riemannian manifolds
- Smooth approximations
- Global inversion and covering maps on length spaces
- Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
- Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
- A Cartan-Hadamard theorem for Banach-Finsler manifolds
- Homomorphisms on function lattices
- The group of isometries of a Finsler space.
- Lusternik-Schnirelman theory on Banach manifolds
- The group of isometries of a Riemannian manifold
- Composition Operators Between Algebras of Differentiable Functions
- On the Composition of Differentiable Functions
- C1-fine approximation of functions on Banach spaces with unconditional basis
- Algebras of Differentiable Functions
- Algebras of differentiable functions on Riemannian manifolds
- Functional analysis and infinite-dimensional geometry