Results 101 to 110 of about 92,426 (217)
Sub-Riemannian Geometry and Geodesics in Banach Manifolds [PDF]
arXiv, 2016 In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a Pontryagin Maximum Principle in the infinite dimensional setting.
arxiv
A characterization of Walrasian economies of infinity dimension [PDF]
We consider a pure exchange economy, where agent's consumption spaces are Banach spaces, goods are contingent in time of states of the world, the utility function of each agent is not necessarily a separable function, but increasing, quasiconcave, and ...
Elvio Accinelli, Martín Puchet
core
Oseledets splitting and invariant manifolds on fields of Banach spaces [PDF]
arXiv, 2019 We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces.
arxiv
Spectral sets as Banach manifolds [PDF]
Pacific Journal of Mathematics, 1985 Larotonda, Angel, Zalduendo, Ignacio
openaire +3 more sources
arXiv, 2009 A Banach symmetric space in the sense of O. Loos is a smooth Banach manifold $M$ endowed with a multiplication map $\mu\colon M \times M \to M$ such that each left multiplication map $\mu_x := \mu(x,\cdot)$ (with $x \in M$) is an involutive automorphism of $(M,\mu)$ with the isolated fixed point $x$.
arxiv
Algebraic characterization of symmetric complex Banach manifolds [PDF]
Mathematische Annalen, 1977 The symmetric hermitian complex manifolds (of finite dimension) have been classi fled completely by E. Cartan [4] using the classification of simple complex Lie algebras. A Jordan theoretic approach is due to Koecher [18] and more recently to Loos [25] : The symmetric bounded domains are in a one-to-one correspondence to hermitian Jordan triple systems,
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Book Review: The metric theory of Banach manifolds [PDF]
, 1979 Richard A. Graff
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A splitting theorem for holomorphic Banach bundles [PDF]
arXiv, 2008 This paper is motivated by Grothendieck's splitting theorem. In the 1960s, Gohberg generalized this to a class of Banach bundles. We consider a compact complex manifold $X$ and a holomorphic Banach bundle $E \to X$ that is a compact perturbation of a trivial bundle in a sense recently introduced by Lempert.
arxiv
Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]
J Dyn Control Syst, 2023 Antonelli G +2 more
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Schwarz's lemma and the Kobayashi and Carathéodory pseudometrics on complex Banach manifolds [PDF]
, 2003 Clifford J. Earle +3 more
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