A variational approach to norm attainment of some operators and polynomials

DOI10.1007/s10114-010-8638-xzbMath1216.46006OpenAlexW2093189538MaRDI QIDQ627555

Domingo García, Jerónimo Alaminos, Manuel Maestre, María D. Acosta

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8638-x

zbMATH Keywords

variational principleholomorphic functionBishop-Phelps Theoremnorm attaining polynomials

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Isomorphic theory (including renorming) of Banach spaces (46B03) (Spaces of) multilinear mappings, polynomials (46G25) Existence theories for problems in abstract spaces (49J27)

Related Items

Residuality in the set of norm attaining operators between Banach spaces

Cites Work

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• Convex functions, monotone operators and differentiability.
• Optimization of convex functions on w*-compact sets
• On Banach spaces whose unit sphere determines polynomials
• Strict feasibility of variational inequalities in reflexive Banach spaces
• A linear perturbed Palais-Smale condition for lower semicontinuous functions on Banach spaces
• Optimization and differentiation in Banach spaces
• On dentability and the Bishop-Phelps property
• Geometric aspects of convex sets with the Radon-Nikodym property
• On holomorphic functions attaining their norms
• Convexification of nonconvex functions and application to minimum and maximum principles for nonconvex sets
• A proof that every Banach space is subreflexive
• Norm Attaining Bilinear Forms on Spaces of Continuous Functions

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