Examples and applications of the density of strongly norm attaining Lipschitz maps

DOI10.4171/rmi/1253zbMath1506.46009arXiv1907.07698OpenAlexW3128539320MaRDI QIDQ2039500

Rafael Chiclana, Abraham Rueda Zoca, Miguel Martín, Luis C. García-Lirola

Publication date: 5 July 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07698

zbMATH Keywords

metric spaceLipschitz functionnorm attaining operatorsLipschitz free-space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (13)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Norm-attaining lattice homomorphisms ⋮ Some stability properties for the Bishop–Phelps–Bollobás property for Lipschitz maps ⋮ Daugavet points and $\Delta $-points in Lipschitz-free spaces ⋮ Cantor sets of low density and Lipschitz functions on \(C^1\) curves ⋮ Some results on isometric composition operators on Lipschitz spaces ⋮ Several remarks on norm attainment in tensor product spaces ⋮ On isometric embeddings into the set of strongly norm-attaining Lipschitz functions ⋮ Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps ⋮ Norm-attaining tensors and nuclear operators ⋮ Closed linear spaces consisting of strongly norm attaining Lipschitz functionals ⋮ Residuality in the set of norm attaining operators between Banach spaces ⋮ Norm attaining Lipschitz maps toward vectors

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