On the structure of spaces of vector-valued Lipschitz functions

2016/06/20 by García-Lirola, Luis, Petitjean, Colin, Zoca, Abraham Rueda · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1606.05999

Abstract

We analyse the strong connections between spaces of vector-valued Lipschitz functions and spaces of linear continuous operators. We apply these links to study duality, Schur properties and norm attainment in the former class of spaces as well as in their canonical preduals

Cited by

• Duality of Lipschitz-free spaces over ultrametric spaces

Related

• Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
• Continuous operators from spaces of Lipschitz functions
• Linear structures of norm-attaining Lipschitz functions and their complements
• Lipschitz geometry of operator spaces and Lipschitz-free operator spaces
• Lipschitz vector spaces