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Polar locally convex topologies and Attouch-Wets convergence

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Publication:3988184
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DOI10.1017/S0004972700011667zbMath0747.46001MaRDI QIDQ3988184

Gerald Berr

Publication date: 28 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Attouch-Wets topologypolar topologyconvergence of a net of continuous linear functionalsnet of its graphsnet of level sets


Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20)


Related Items

Convergence on closed convex sets in a locally convex space



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Convergence of continuous linear functionals and their level sets
  • Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
  • The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
  • Quantitative Stability of Variational Systems: I. The Epigraphical Distance
  • Convex Optimization and the Epi-Distance Topology
  • Conjugate Convex Functions and the Epi-Distance Topology
  • Operations on convergent families of sets and functions
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