Asplunds, yet again

DOI10.1016/j.jmaa.2023.127547OpenAlexW4382542523MaRDI QIDQ6063011

Vicente Montesinos Santalucía, Marian J. Fabian

Publication date: 6 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127547

zbMATH Keywords

argmin mappingAsplund spacenorm-to-norm/weak Baire class one selectorvarious continuity properties of duality mapping

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex functions, monotone operators and differentiability.
• Asplund spaces characterized by rich families and separable reduction of Fréchet subdifferentiability
• Borel selectors for upper semi-continuous set-valued maps
• Boundaries of a convex set and interpolation sets
• Banach spaces which are Asplund spaces
• Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
• A convergence theorem with boundary
• Banach space theory. The basis for linear and nonlinear analysis
• The dual of every Asplund space admits a projectional resolution of the identity
• Smoothness and the asymptotic-norming properties of Banach spaces
• On Vector Measures
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
• On Upper Semicontinuity of Duality Mappings
• Projections in duals to Asplund spaces made without Simons’ lemma
• The Geometry of Banach Spaces. Smoothness

This page was built for publication: Asplunds, yet again