7 papers
Optimal integral representations in projective tensor products: countability and topology
Mingu Jung
We study optimal integral representations in projective tensor products, focusing on two questions: whether they can always be replaced by countable optimal decompositions, and whe…
On absolute strong exposure for Lipschitz maps
Geunsu Choi, Mingu Jung
We introduce strongly exposing Lipschitz maps, a vector-valued extension of Weaver's peaking functions and a nonlinear analogue of absolutely strongly exposing operators. Our main…
Affine Approximation in Finite Nagata Dimension and Applications to Lipschitz-free spaces
Mingu Jung, Colin Petitjean, AntonÃn Prochazka +1
We show that if is a metric space of Nagata dimension at most , then there exists an atlas on modeled on such that every Lipschitz map (with val…
Linear structures in the set of non-norm-attaining operators on Banach spaces
Sheldon Dantas, Javier Falcó, Mingu Jung +1
We study large linear structures inside sets arising in the theory of norm-attaining operators. We provide several results in the context of lineability, spaceability, maximal-spac…
Integral representations of projective norm-attaining tensors
Ramón J. Aliaga, Sheldon Dantas, Juan Guerrero-Viu +2
We introduce a Bochner integral approach to projective norm attainment in tensor products of Banach spaces by defining the class of integral projective norm-attaining tensors. This…
Group equivariant Radon-Nikodým property and its characterizations
Sheldon Dantas, Michal Doucha, Mingu Jung +1
We introduce and study equivariant versions of the Radon-Nikodým property for Banach spaces, together with the closely related notions such as dentability, the Bishop-Phelps and K…