4 papers
On the Lipschitz numerical index of Banach spaces
Geunsu Choi, Mingu Jung, Hyung-Joon Tag
We provide some new consequences on the Lipschitz numerical radius and index which were introduced recently. More precisely, we give some renorming results on the Lipschitz numeric…
The Birkhoff-James orthogonality and norm attainment for multilinear maps
Geunsu Choi, Sun Kwang Kim
Very recently, motivated by the result of Bhatia and Šemrl which characterizes the Birkhoff-James orthogonality of operators on a finite dimensional Hilbert space in terms of norm…
On quasi norm attaining operators between Banach spaces
Geunsu Choi, Yun Sung Choi, Mingu Jung +1
We introduce a weakened notion of norm attainment for bounded linear operators between Banach spaces which we call \emph{quasi norm attaining operators}. An operator $T\colon X \lo…
Emerging notions of norm attainment for Lipschitz maps between Banach spaces
Geunsu Choi, Yun Sung Choi, Miguel Martin
We classify several notions of norm attaining Lipschitz maps which were introduced previously, and present the relations among them in order to verify proper inclusions. We also an…