Results 1 to 10 of about 747 (176)
On upper semicontinuity of duality mappings [PDF]
We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.
Contreras, Manuel D., Payá, Rafael
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On the upper semicontinuity of Choquet capacities
The distribution of a random closed set \(X\) in a locally compact second countable Hausdorff space \(E\) is uniquely determined by its capacity functional \(T(K)=\mathbf{P}(X\cap K\neq\emptyset)\) for all \(K\) from the family \(\mathcal{K}\) of compact sets.
Guo Wei 0004 +3 more
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Subharmonicity without Upper Semicontinuity
Let \(\Omega\subseteq \mathbb{R}^d\) be open and let \(x\in\Omega\). There are many probability measures \(\mu\) with compact support in \(\Omega\) which have the following property: \(u(x)\leq\int u d\mu\) for every subharmonic function \(u\) on \(\Omega\). (Such a measure is called a Jensen measure for \(x\).) Familiar examples are normalized surface
Cole, B.J, Ransford, T.J
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Upper Semicontinuous Extensions of Binary Relations [PDF]
The notion of consistency in binary relations is considered. The authors provide sufficient conditions for the existence of upper semicontinuous extensions of consistent rather than transitive relations. For asymmetric relations, consistency and upper semicontinuity suffice.
BOSSERT, Walter +2 more
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Upper Semicontinuity of Attractors and Synchronization
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Carvalho, Alexandre N +2 more
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Concerning Upper Semicontinuous Decompositions of Irreducible Continua [PDF]
Let K \mathcal {K} denote the class of all compact metric continua
Transue, W. R. R. +2 more
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On structure of upper semicontinuity
AbstractThe refinement of a Choquet theorem on (strong) upper semi-continuity and its relation to the Vainstein lemma are dealt with here. Relevance of subcontinuity is discussed. Consequently, an improvement of a characterization theorem of Dolecki and Rolewicz is achieved.
Dolecki, Szymon, Lechicki, Alojzy
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Upper Semicontinuous Decompositions of the n-Sphere [PDF]
We consider conditions under which an upper semicontinuous decomposition has the decomposition space which is a topological nsphere. A special emphasis is placed on the case in which the decomposition has only a countable number of nondegenerate elements.
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On the upper semicontinuity of a quasiconcave functional [PDF]
In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}{n-1}}\,dx$ defined on the space of $p$-summable positive definite matrices with zero divergence. We prove that this implies the weak upper semicontinuity of the functional $\
De Rosa L., Serre D., Tione R.
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Upper semicontinuous utilities for all upper semicontinuous total preorders
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Bosi G., Sbaiz G.
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