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A note on the duality mapping of a locally uniformly convex Banach space

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Publication:732582
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DOI10.1016/j.na.2009.04.040zbMath1222.46012OpenAlexW2008268341MaRDI QIDQ732582

Athanassios G. Kartsatos

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.040


zbMATH Keywords

duality mappinguniformly convex Banach spacelocally uniformly convex Banach space


Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10)


Related Items (2)

Invariance of domain and eigenvalues for perturbations of densely defined linear maximal monotone operators ⋮ Continuous Fréchet differentiability of the Moreau envelope of convex functions on Banach spaces



Cites Work

  • Unnamed Item
  • Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces
  • A characterization of uniform convexity and applications to accretive operators
  • Degree of mapping for nonlinear mappings of monotone type


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