41 citations · 64 across the 12 of their papers we have counts for
13 papers · 1 filter
Boundaries for Gelfand transform images of Banach algebras of holomorphic functions
Yun Sung Choi, Mingu Jung
Let be a Banach algebra of bounded holomorphic functions on the open unit ball of a complex Banach space . Considering the Gelfand transform image $\widehat{…
The spectra of Banach algebras of holomorphic functions on polydisk type domains
Yun Sung Choi, Mingu Jung, Manuel Maestre
R.M. Aron et al. proved that the Cluster Value Theorem in the infinite dimensional Banach space setting holds for the Banach algebra . On the other ha…
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…
The Bishop-Phelps-Bollobás property and absolute sums
Yun Sung Choi, Sheldon Dantas, Mingu Jung +1
In this paper we study conditions assuring that the Bishop-Phelps-Bollobás property (BPBp, for short) is inherited by absolute summands of the range space or of the domain space. C…
The Bishop-Phelps-Bollobás properties in complex Hilbert spaces
Yun Sung Choi, Sheldon Dantas, Mingu Jung
In this paper we consider a stronger property than the Bishop-Phelps-Bollobás property for various classes of operators on a complex Hilbert space. The Bishop-Phelps-Bollobás {\it…
Bishop-Phelps-Bolloba's theorem on bounded closed convex sets
Dong Hoon Cho, Yun Sung Choi
This paper deals with the \emph{Bishop-Phelps-Bollobás property} (\emph{BPBp} for short) on bounded closed convex subsets of a Banach space , not just on its closed unit ball $B…
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…
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…
Bishop's Theorem and Differentiability of a subspace of
Yun Sung Choi, Han Ju Lee, Hyun Gwi Song
Let be a Hausdorff space and be the Banach algebra of all complex bounded continuous functions on . We study the Gâteaux and Fréchet differentiability of subspaces…
Boundaries for algebras of holomorphic functions on Banach spaces
Yun Sung Choi, Kwang Hee Han, Han Ju Lee
We study the relations between boundaries for algebras of holomorphic functions on Banach spaces and complex convexity of their balls. In addition, we show that the Shilov boundary…