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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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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
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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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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.
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The Banach-Tarski paradox for flag manifolds