My research interest is focused on Functional Analysis:
Norm attaining Lipschitz maps and linear operators
Geometry of Lipschitz function spaces, Lipschitz-free spaces
Banach spaces and their related properties such as Daugavet property, numerical index
I am also interested in Real Analysis, Complex Analysis and Operator Theory.
Preprints
16. Range strongly exposing operators between Banach spaces (with H. del Rio, A. Fovelle, M. Jung and M. Martin)
Preprint (2025), arXiv:2503.18581
15. Linear structures of norm-attaining Lipschitz functions and their complements (with M. Jung, H. J. Lee and O. Roldan)
Preprint (2024), arXiv:2404.07599
14. Embeddings of infinite-dimensional spaces in the sets of norm-attaining Lipschitz functions (with M. Jung, H. J. Lee and O. Roldan)
Preprint (2023), arXiv:2312.00393
Publications
13. Approximations of Lipschitz maps with maximal derivatives on Banach spaces
Studia Math. (to appear), arXiv:2410.16607
12. The Daugavet and Delta-constants of points in Banach spaces (with M. Jung)
Proc. Roy. Soc. Edinburgh Sect. A (to appear), doi.org/10.1017/prm.2024.83
11. On the Lipschitz numerical index of Banach spaces (with M. Jung and H. J. Tag)
Collect. Math. 76 (2025), 81-103
10. Weak-star quasi norm attaining operators (with M. Jung, S. K. Kim and M. Martin)
J. Math. Anal. Appl. 529 (2024), 126874
9. On the Crawford number attaining operators (with H. J. Lee)
Rev. Mat. Complut. 36 (2023), 841-857
8. On a set of norm attaining operators and the strong Birkhoff-James orthogonality (with M. Jung and S. K. Kim)
Results Math. 78, 77 (2023)
7. A generalized ACK structure and the denseness of norm attaining operators (with M. Jung)
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. 117, 87 (2023)
6. Norm attaining Lipschitz maps toward vectors
Proc. Amer. Math. Soc. 151 (2023), 1729-1741
5. On quasi norm attaining operators between Banach spaces (with Y. S. Choi, M. Jung and M. Martin)
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. 116, 133 (2022)
4. The Bishop-Phelps-Bollobas property on the space of c_0-sum (with S. K. Kim)
Mediterr. J. Math. 19, 72 (2022)
3. The Lipschitz bounded approximation property for operator ideals (with M. Jung)
Banach J. Math. Anal. 16, 10 (2022)
2. The Birkhoff-James orthogonality and norm attainment for multilinear maps (with S. K. Kim)
J. Math. Anal. Appl. 502 (2021), 125275
1. Emerging notions of norm attainment for Lipschitz maps between Banach spaces (with Y. S. Choi and M. Martin)
J. Math. Anal. Appl. 483 (2020), 123600