41 citations · 108 across the 18 of their papers we have counts for
23 papers · 1 filter
Projective norm-attainments and their implications
Manwook Han, Sun Kwang Kim, Miguel Martín +1
We show that nuclear norm-attaining operators (resp.\ polynomials) are always -dense in the space of integral operators (resp.\ polynomials). Besides, the denseness is in norm…
The Bishop-Phelps-Bollobás property for the numerical radius: a Zizler-type approach
Sun Kwang Kim, Han Ju Lee, Miguel Martin +1
We investigate the Bishop-Phelps-Bollobás property for the numerical radius (BPBp-nu) through a Zizler-type perspective on the classical Bishop-Phelps-Bollobás property (BPBp). Thi…
Weak-star quasi norm attaining operators
Geunsu Choi, Mingu Jung, Sun Kwang Kim +1
For Banach spaces and , a bounded linear operator is said to weak-star quasi attain its norm if the -closure of the image by of…
On a set of norm attaining operators and the strong Birkhoff-James orthogonality
Geunsu Choi, Mingu Jung, Sun Kwang Kim
Continuing the study of recent results on the Birkhoff-James orthogonality and the norm attainment of operators, we introduce a property namely the adjusted Bhatia-Šemrl property f…
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…
The Bishop-Phelps-Bollobás property on the space of -sum
Geunsu Choi, Sun Kwang Kim
The main purpose of this paper is to study Bishop-Phelps-Bollobás type properties on sum of Banach spaces. Among other results, we show that the pair has the Bis…
On various types of density of numerical radius attaining operators
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee +1
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-Bollobás point and oper…
On Banach spaces whose group of isometries acts micro-transitively on the unit sphere
Félix Cabello Sánchez, Sheldon Dantas, Vladimir Kadets +3
We study Banach spaces whose group of isometries acts micro-transitively on the unit sphere. We introduce a weaker property, which one-complemented subspaces inherit, that we call…
On some local Bishop-Phelps-Bollobás properties
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee +1
We continue a line of study about some local versions of Bishop-Phelps-Bollobás type properties for bounded linear operators. We introduce and focus our attention on two of these l…
Strong subdifferentiability and local Bishop-Phelps-Bollobás properties
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee +1
It has been recently presented some local versions of the Bishop-Phelps-Bollobás type property for operators. In the present article, we continue studying these properties for mult…
There is no operatorwise version of the Bishop-Phelps-Bollobás property
Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim +2
Given two real Banach spaces and with dimensions greater than one, it is shown that there is a sequence of norm attaining norm-one operators fro…
On the pointwise Bishop--Phelps--Bollobás property for operators
Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim +2
We study approximation of operators between Banach spaces and that nearly attain their norms in a given point by operators that attain their norms at the same point. When s…
A non-linear Bishop-Phelps-Bollobás type theorem
Sheldon Dantas, Domingo García, Sun Kwang Kim +3
The main aim of this paper is to prove a Bishop-Phelps-Bollobás type theorem on the unital uniform algebra A_{w^*u}(B_{X^*}) consisting of all w^*-uniformly continuous functions on…
The Bishop-Phelps-Bollobás point property
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee
In this article, we study a version of the Bishop-Phelps-Bollobás property. We investigate a pair of Banach spaces such that every operator from into is approximat…
On a second numerical index for Banach spaces
Sun Kwang Kim, Han Ju Lee, Miguel Martin +1
We introduce a second numerical index for real Banach spaces with non-trivial Lie algebra, as the best constant of equivalence between the numerical radius and the quotient of the…
Bishop-Phelps-Bollobás property for bilinear forms on spaces of continuous functions
Sun Kwang Kim, Han Ju Lee, Miguel Martin
It is shown that the Bishop-Phelps-Bollobás theorem holds for bilinear forms on the complex for arbitrary locally compact topological Hausdorff spaces $L_…
The Bishop-Phelps-Bollobás property for operators from to uniformly convex spaces
Sun Kwang Kim, Han Ju Lee
We show that the pair has the Bishop-Phelps-Bollobaás property for operators if is a compact Hausdorff space and is a uniformly convex space.
On Banach spaces with the approximate hyperplane series property
Yun Sung Choi, Sun Kwang Kim, Han Ju Lee +1
We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get…
On the Bishop-Phelps-Bollobás property for numerical radius
Sun Kwang Kim, Han Ju Lee, Miguel Martín
We study the Bishop-Phelps-Bollobás property for numerical radius (in short, BPBp-nu) and find sufficient conditions for Banach spaces ensuring the BPBp-nu. Among other results, we…
Simultaneously continuous retraction and Bishop-Phelps-Bollobás type theorem
Sun Kwang Kim, Han Ju Lee
We study the existence of a retraction from the dual space of a (real or complex) Banach space onto its unit ball which is uniformly continuous in norm topology…
The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions
Maria Acosta, Julio Becerra, Yun Sung Choi +5
We show that the space of bounded and linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollobás property. A sim…
The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B
Richard Aron, Yun Sung Choi, Sun Kwang Kim +2
We study a Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B. For domain spaces, we study Banach spaces such that has the Bishop-Phelps-Bollobás proper…
The Bishop-Phelps-Bollobás theorem for operators on
Yun Sung Choi, Sun Kwang Kim, Han Ju Lee +1
In this paper we show that the Bishop-Phelps-Bollobás theorem holds for for all measures and and also holds for $\mathcal{L}(L_1(μ),L_\infty(ν…