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- D Azagra, J Gomez, J A Jaramillo
- 1996

In this note we prove that if a differentiable function oscillates between y and on the boundary of the unit ball then there exists a point in the interior of the ball in which the differential of the function has norm equal or less than . This kind of approximate Rolle's theorem is interesting because an exact Rolle's theorem does not hold in many… (More)

- E Durand, J A Jaramillo
- 2009

For a metric space X, we study the space D ∞ (X) of bounded functions on X whose infinitesimal Lipschitz constant is uniformly bounded. D ∞ (X) is compared with the space LIP ∞ (X) of bounded Lipschitz functions on X, in terms of different properties regarding the geometry of X. We also obtain a Banach-Stone theorem in this context. In the case of a metric… (More)

- Olivia Gut´u, Jes´us A Jaramillo
- 2008

For a large class of metric spaces with nice local structure, which includes Banach-Finsler manifolds and geodesic spaces of curvature bounded above, we give sufficient conditions for a local homeomorphism to be a covering projection. We first obtain a general condition in terms of a path continuation property. As a consequence, we deduce several conditions… (More)

- R Gonzalo, J A Jaramillo
- 2004

We introduce U DS p-property (resp. U DT q-property) in Banach lattices as the property that every normalized disjoint sequence has a subse-quence with an upper p-estimate (resp. lower q-estimate). In the case of rearrangement invariant spaces, the relationships with Boyd indices of the space are studied. Some applications of these properties are given to… (More)

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