Zobrazeno 1 - 10
of 292
pro vyhledávání: '"Lee Han Ju"'
Autor:
Lee Han Ju, Tag Hyung-Joon
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 17-1052 (2024)
In this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also pr
Externí odkaz:
https://doaj.org/article/84ddf6a5cae94ed394e584ed413033be
In this article, we study the ccs-Daugavet, ccs-$\Delta$, super-Daugavet, super-$\Delta$, Daugavet, $\Delta$, and $\nabla$ points in the unit balls of vector-valued function spaces $C_0(L, X)$, $A(K, X)$, $L_\infty(\mu, X)$, and $L_1(\mu, X)$. To par
Externí odkaz:
http://arxiv.org/abs/2410.04706
We solve two main questions on linear structures of (non-)norm-attaining Lipschitz functions. First, we show that for every infinite metric space $M$, the set consisting of Lipschitz functions on $M$ which do not strongly attain their norm and the ze
Externí odkaz:
http://arxiv.org/abs/2404.07599
Motivated by the result of Dantas et. al. (2023) that there exist metric spaces for which the set of strongly norm-attaining Lipschitz functions does not contain an isometric copy of $c_0$, we introduce and study a weaker notion of norm-attainment fo
Externí odkaz:
http://arxiv.org/abs/2312.00393
Autor:
Lee, Han Ju, Tag, Hyung-Joon
In this article, we study the Daugavet property and the diametral diameter two properties in complex Banach spaces. The characterizations for both Daugavet and $\Delta$-points are revisited in the context of complex Banach spaces. We also provide rel
Externí odkaz:
http://arxiv.org/abs/2302.11153
In this article, we study the diameter two properties (D2Ps), the diametral diameter two properties (diametral D2Ps), and the Daugavet property in Orlicz-Lorentz spaces equipped with the Luxemburg norm. First, we characterize the Radon-Nikod\'ym prop
Externí odkaz:
http://arxiv.org/abs/2212.12149
Autor:
Choi, Geunsu, Lee, Han Ju
We study the denseness of Crawford number attaining operators on Banach spaces. Mainly, we prove that if a Banach space has the RNP, then the set of Crawford number attaining operators is dense in the space of bounded linear operators. We also see am
Externí odkaz:
http://arxiv.org/abs/2201.10031
Autor:
Lee, Han Ju, Tag, Hyung-Joon
We introduce a vector-valued version of a uniform algebra, called the vector-valued function space over a uniform algebra. The diameter two properties of the vector-valued function space over a uniform algebra on an infinite compact Hausdorff space a
Externí odkaz:
http://arxiv.org/abs/2103.04012
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 January 2024 529(2)
In this paper, we are interested in studying two properties related to the denseness of the operators which attain their numerical radius: the Bishop-Phelps-Bollob\'as point and operator properties for numerical radius (BPBpp-nu and BPBop-nu, respect
Externí odkaz:
http://arxiv.org/abs/2010.00280