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Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors consider \({\mathcal{C}}^1\)-functionals \(G:E\to\mathbb R\) defined on a separable Hilbert space \(E\) so that \(G':E\to E\) is weakly sequentially continuous. By definition, a subset \(A\) of \(E\) links \(D\subset E\) weakly if each such \(G\) satisfying \(\text{{sup}}\, G(A)\leq\text{{inf}}\,G(B)\) has a \((PS)_c\)-sequence for some \(c\
Schechter, Martin, Zou, Wenming
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The authors consider \({\mathcal{C}}^1\)-functionals \(G:E\to\mathbb R\) defined on a separable Hilbert space \(E\) so that \(G':E\to E\) is weakly sequentially continuous. By definition, a subset \(A\) of \(E\) links \(D\subset E\) weakly if each such \(G\) satisfying \(\text{{sup}}\, G(A)\leq\text{{inf}}\,G(B)\) has a \((PS)_c\)-sequence for some \(c\
Schechter, Martin, Zou, Wenming
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Chaos, Solitons & Fractals, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
In this chapter, we will study topologies on Banach spaces which are weaker (i.e. coarser) than the norm topology.
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In this chapter, we will study topologies on Banach spaces which are weaker (i.e. coarser) than the norm topology.
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2023
In Weak Elements, Weak Flesh, Ernest Clark reinvigorates an ancient interpretation overlooked since the fourth century. Clark argues that when Paul writes “we too were enslaved under the elements of the world,” he means that the elements that compose the cosmos also compose and compromise the flesh, allowing sin to enslave human persons through their ...
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In Weak Elements, Weak Flesh, Ernest Clark reinvigorates an ancient interpretation overlooked since the fourth century. Clark argues that when Paul writes “we too were enslaved under the elements of the world,” he means that the elements that compose the cosmos also compose and compromise the flesh, allowing sin to enslave human persons through their ...
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Weak Covering Properties of Weak Topologies
Proceedings of the London Mathematical Society, 1997In 1980, S. Gul'ko posed the problem whether the space \(C_p(K)\) is hereditarily meta-Lindelöf for every compact space \(K\). Later R. Hanswell asked whether such a space is weakly \(\theta\)-refinable. It is shown in the paper that the space \(C_p(\beta \omega_1)\) is a counterexample to both questions, and \(C_p (\beta \omega_1)\) is not even weakly
Dow, Alan, Junnila, H., Pelant, Jan
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Weak Galois and Weak Cocleft Coextensions
Algebra Colloquium, 2007For a weak entwining structure (A, C, ψ) living in a braided monoidal category with equalizers and coequalizers, we formulate the notion of weak A-Galois coextension with normal basis and we show that these Galois coextensions are equivalent to the weak A-cocleft coextensions introduced by the authors.
Alonso Álvarez, J. N. +3 more
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WEAK INJECTIVE AND WEAK FLAT COMPLEXES
Glasgow Mathematical Journal, 2015AbstractLet R be an arbitrary ring. We introduce and study a generalization of injective and flat complexes of modules, called weak injective and weak flat complexes of modules respectively. We show that a complex C is weak injective (resp. weak flat) if and only if C is exact and all cycles of C are weak injective (resp. weak flat) as R-modules.
Gao, Zenghui, Huang, Zhaoyong
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Weak Reflections and Weak Factorization Systems
Applied Categorical Structures, 2008It is known that in nice categories, saturated factorization systems are equivalent to reflective subcategories, that is, there is an adjunction between them inducing a bijection [\textit{C. Cassidy, M. Hébert} and \textit{G. M. Kelly}, J. Aust. Math. Soc., Ser. A 38, 287--329 (1985; Zbl 0573.18002) and ibid. 41, 286 (1986; Zbl 0601.18001)]. This paper
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2006
AbstractThis chapter outlines a new approach to the investigation of aphasics' linguistic errors. The model represents a further development of ideas outlined in Avrutin (1999). It shows that damage to Broca's region diminishes the amount of resources necessary for conducting operations involving narrow syntax.
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AbstractThis chapter outlines a new approach to the investigation of aphasics' linguistic errors. The model represents a further development of ideas outlined in Avrutin (1999). It shows that damage to Broca's region diminishes the amount of resources necessary for conducting operations involving narrow syntax.
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