Results 1 to 10 of about 86 (83)
Mosco convergence and reflexivity [PDF]
Proceedings of the American Mathematical Society, 1990 In this note we aim to show conclusively that Mosco convergence of convex sets and functions and the associated Mosco topology τ M {\tau _M} are useful notions only in the reflexive setting. Specifically, we prove that each of the following conditions is necessary and sufficient for a Banach space
Beer, Gerald, Borwein, Jonathan M.
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Mosco convergence and the Kadec property [PDF]
Proceedings of the American Mathematical Society, 1989 We study the relationship between Wijsman convergence and Mosco convergence for sequences of convex sets. Our central result is that Mosco convergence and Wijsman convergence coincide for sequences of convex sets if and only if the underlying space is reflexive with the dual norm having the Kadec property.
Borwein, Jonathan M., Fitzpatrick, Simon
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Mosco convergence of nonlocal to local quadratic forms [PDF]
Nonlinear Analysis, 2020 We study sequences of nonlocal quadratic forms and function spaces that are related to Markov jump processes in bounded domains with a Lipschitz boundary. Our aim is to show the convergence of these forms to local quadratic forms of gradient type. Under suitable conditions we establish the convergence in the sense of Mosco. Our framework allows bounded
Foghem Gounoue, Guy Fabrice +2 more
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Periodic homogenization for convex functionals using Mosco convergence [PDF]
Ricerche di Matematica, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Damlamian, Alain +2 more
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On Mosco convergence of convex sets [PDF]
Bulletin of the Australian Mathematical Society, 1988 We present a natural topology compatible with the Mosco convergence of sequences of closed convex sets in a reflexive space, and characterise the topology in terms of the continuity of the distance between convex sets and fixed weakly compact ones. When the space is separable, the topology is Polish.
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Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains
Calculus of Variations and Partial Differential Equations, 2022 AbstractWe find extremely general classes of nonsmooth open sets which guarantee Mosco convergence for corresponding Sobolev spaces and the validity of Sobolev inequalities with a uniform constant. An important feature of our results is that the conditions we impose on the open sets for Mosco convergence and for the Sobolev inequalities are of the same
Matteo Fornoni, Luca Rondi
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Regular Dirichlet subspaces and Mosco convergence
, 2015 In this paper, we shall explore the Mosco convergence on regular subspaces of one-dimensional irreducible and strongly local Dirichlet forms. We find that if the characteristic sets of regular subspaces are convergent, then their associated regular subspaces are convergent in sense of Mosco.
Li, Liping, Song, Xiucui
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Mosco convergence in locally convex spaces
Journal of Functional Analysis, 1992 Given a dual pair \(E\), \(F\) of locally convex spaces, each with its corresponding weak topology \(\sigma\) and Mackey topology \(\tau\), one says that a sequence \(\{f_ n\}\) of functions \(E\to [-\infty,\infty]\) (or \(F\to [-\infty,\infty]\)) is Mosco-convergent to a function \(f_ 0\) if the following conditions are satisfied for each \(v\) in \(E\
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Mosco convergence of sequences of homogeneous polynomials
Revista Matemática Complutense, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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T-minima on convex sets and Mosco-convergence
Rendiconti di Matematica e delle Sue Applicazioni, 2020 Summary: Half century ago, Umberto Mosco was the ``relatore di tesi (tesi about the Mosco-convergence) di laurea'' of the first author; a quart of century ago, the first author was the ``relatore di tesi di laurea'' of the second author. The roots of this paper are the Mosco-convergence of convex sets and the minimization of integral functionals of the
Boccardo L., Leone C.
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