Dual Kadec-Klee norms and the relationships between Wijsman, slice and Mosco convergence
, 1993 In this paper, we completely settle several of the open questions regarding the relationships between the three most fundamental forms of set convergence. In particular, it is shown that Wijsman and slice convergence coincide precisely when the weak star and norm topologies agree on the dual sphere.
Borwein, Jonathan M., Vanderwerff, J.
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Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures
Journal of Functional Analysis, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence
, 2014 We give sufficient conditions for Mosco convergences for the following three cases: symmetric locally uniformly elliptic diffusions, symmetric L vy processes, and symmetric jump processes in terms of the $L^1(\mathbb R;dx)$-local convergence of the (elliptic) coefficients, the characteristic exponents and the jump density functions,respectively.
Uemura, Toshihiro, Suzuki, Kohei
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Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions
We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of bounded variation is also considered. Our method, covering possibly infinite dimensional settings, is based on a Lagrangian approach and combines the stability properties of ...
Nobili, Francesco +2 more
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Limit for the p-laplacian equation with dynamical boundary conditions
Electronic Journal of Differential Equations, 2021 Eylem Ozturk, Julio D. Rossi
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Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces
, 2019 13 pages. The main result Theorem 1.3 was already obtained in Lemma 4.2 of Z.-Q. Chen and R. Song, Continuity of eigenvalues of subordinate processes in domains. Math. Z. 252 (2006), 71-89.
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Mosco convergence and maximal monotone operators in Banach spaces
Mosco convergence and maximal monotone operators in Banach spacesidentifier:oai:t2r2.star.titech.ac.jp ...
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Mosco convergence of independent particles and applications to particle systems with self-duality
We consider a sequence of Markov processes $\lbrace X_t^n \mid n \in \mathbb{N} \rbrace$ with Dirichlet forms converging in the Mosco sense of Kuwae and Shioya to the Dirichlet form associated with a Markov process $X_t$. Under this assumption, we demonstrate that for any natural number $k$, the sequence of Dirichlet forms corresponding to the Markov ...
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Weak convergence of resolvents of maximal monotone operators and Mosco convergence
Weak convergence of resolvents of maximal monotone operators and Mosco convergenceidentifier:oai:t2r2.star.titech.ac.jp ...
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