Norm-to-weak upper semi-continuity of the duality and pre-duality mappings

DOI10.1023/A:1020662918653zbMath1042.46008OpenAlexW82838069MaRDI QIDQ1863701

Gilles Godefroy, V. Indumathi

Publication date: 12 March 2003

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020662918653

zbMATH Keywords

duality mappingnorm-weak upper semi-continuitysubdifferential mapsvery smooth norms

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Geometry and structure of normed linear spaces (46B20)

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Very smooth points of spaces of operators ⋮ Computing subdifferential limits of operators on Banach spaces ⋮ A CONTINUITY CHARACTERIZATION OF ASPLUND SPACES ⋮ E-proximinal subspaces ⋮ Strong subdifferentiability of convex functionals and proximinality ⋮ Strong proximinality and intersection properties of balls in Banach spaces ⋮ Banach space characterizations of unitaries: a survey ⋮ Weakly open sets in the unit ball of the projective tensor product of Banach spaces ⋮ Subdifferential set of an operator ⋮ Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality

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