Lattices of Lipschitz functions
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Publication:1326974
DOI10.2140/pjm.1994.164.179zbMath0797.46007OpenAlexW1991026991MaRDI QIDQ1326974
Publication date: 10 October 1994
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1994.164.179
Lipschitz spacescomplete distributivitynormed vector latticesclosed unit ball is lattice-complete and completely distributiveduality between \(M\) and \(\text{Lip}(M)\) (as a lattice)lattice structure of \(\text{Lip}(M)\)
Complete distributivity (06D10) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)
Related Items (6)
Duality for locally compact Lipschitz spaces ⋮ Lipschitz-type functions on metric spaces ⋮ Characterizations and extensions of Lipschitz-\(\alpha\) operators ⋮ The uniform separation property and Banach–Stone theorems for lattice-valued Lipschitz functions ⋮ Homomorphisms on real-valued little Lipschitz function spaces ⋮ Nonvanishing preservers and compact weighted composition operators between spaces of Lipschitz functions
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