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math.FA2016
Maps with the Radon-Nikodým property
Luis García-Lirola, Matías Raja
We study dentable maps from a closed convex subset of a Banach space into a metric space as an attempt of generalize the Radon-Nikodým property to a "less linear" frame. We note th…
math.FA2016
On the structure of spaces of vector-valued Lipschitz functions
Luis García-Lirola, Colin Petitjean, Abraham Rueda Zoca
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 proper…
math.FA2016
Unconditional almost squareness and applications to spaces of Lipschitz functions
Luis García-Lirola, Abraham Rueda Zoca
We introduce an unconditional concept of almost squareness in order to provide a partial negative answer to the problem of existence of any dual almost square Banach space. We also…