Results 101 to 110 of about 363,931 (208)
The number of equilibria of smooth infinite economies with separable utilities [PDF]
We construct an index theorem for smooth infinite economies with separable utilities that shows that generically the number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of ...
Covarrubias, Enrique
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Determinacy of equilibria of smooth infinite economies [PDF]
This paper deals with generic determinacy of equilibria for infinite dimensional consumption spaces. Our work could be seen as an infinite-dimensional analogue of Dierker and Dierker (1972), by characterising equilibria of an economy as a zero of the ...
Covarrubias, Enrique
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On the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces
Revista Integración, 2015 Let H be a real (or complex) Hilbert space. Every nonnegative operator L ∈ L(H) admits a unique nonnegative square root R ∈ L(H), i.e., a nonnegative operator R ∈ L(H) such that R2 = L.
Jeovanny de Jesus Muentes Acevedo
doaj
Sub-Riemannian Geometry and Geodesics in Banach Manifolds [PDF]
The Journal of Geometric Analysis, 2019 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.
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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
Correction to: Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces [PDF]
, 2021 Mazyar Ghani Varzaneh, Sebastian Riedel
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Some recent work in Frechet geometry
, 2011 Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
core
Book Review: The metric theory of Banach manifolds [PDF]
, 1979 Richard A. Graff
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Integrability on Direct Limit Banach manifolds
, 2014 This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. In particular we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
Cabau, Patrick, Pelletier, Fernand
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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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