Invalid Vitali theorems
Metric spaces in which Prohorov's theorem is not valid
Borel and weakly Borel sets in Banach spaces
Markoff property of generalized random fields
On the Clarke’s generalized jacobian
Stronger estimates of smallness of sets of Frechet nondifferentiability of convex functions
A general mountain pass principle for locating and classifying critical points
Stability of Lewis and Vogel's result.
Stochastic approximation properties in Banach spaces
We show that a Banach space X has the stochastic approximation property iff it has the stochasic basis property, and these properties are equivalent to the approximation property if X has nontrivial type. If for every Radon probability on X, there is an operator from an space into X whose range has probability one, then X is a quotient of an space. This extends a theorem of Sato’s which dealt with the case p = 2. In any infinite-dimensional Banach space X there is a compact set K so that for...
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