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Displaying 1021 –
1040 of
1154
Let X be a Banach space and X'
its continuous dual. C(X) (resp. C(X')) denotes the set of nonempty convex closed subsets of X
(resp. ω*-closed subsets of X') endowed with the topology
of uniform convergence of distance functions on bounded sets. This topology
reduces to the Hausdorff metric topology on the closed and bounded convex
sets [16] and in general has a Hausdorff-like presentation [11]. Moreover,
this topology is well suited for estimations and constructive approximations [6-9].
We...
We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.
Suppose that L, L’ are simply connected nilpotent Lie groups such that the groups and in their lower central series have the same dimension. We show that the Nielsen and Lefschetz coincidence numbers of maps f,g: Γ∖L → Γ’∖L’ between nilmanifolds Γ∖L and Γ’∖L’ can be computed algebraically as follows:
L(f,g) = det(G⁎ - F⁎), N(f,g) = |L(f,g)|,
where F⁎, G⁎ are the matrices, with respect to any preferred bases on the uniform lattices Γ and Γ’, of the homomorphisms between the Lie algebras , ’ of...
The absolute stability of a compact set is characterized in terms of a fundamental system of positive invariant neighborhoods.
We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
Currently displaying 1021 –
1040 of
1154