H. Lee

most citedNorm and Numerical Peak Holomorphic Functions on Banach Spaces

3 citations · 9 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2008★ 1 cited

Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices

Jaegil Kim, Han Ju Lee

Using the variational method, it is shown that the set of all strong peak functions in a closed algebra $A$ of $C_{b} (K)$ is dense if and only if the set of all strong peak points is…

math.FA2007★ 2 cited

Bishop's Theorem and Differentiability of a subspace of $C_{b} (K)$

Yun Sung Choi, Han Ju Lee, Hyun Gwi Song

Let $K$ be a Hausdorff space and $C_{b} (K)$ be the Banach algebra of all complex bounded continuous functions on $K$ . We study the Gâteaux and Fréchet differentiability of subspaces…

math.FA2007★ 1 cited

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…

math.FA2007

Notes on the geometry of space of polynomials

Han Ju Lee

We show that the symmetric injective tensor product space $\otimes^_{n, s, ε} E$ is not complex strictly convex if E is a complex Banach space of $dim E \geq 2$ and if $n \geq 2$ h…

math.FA2007★ 1 cited

Randomized series and Geometry of Banach spaces

Han Ju Lee

We study some properties of the randomized series and their applications to the geometric structure of Banach spaces. For $n \geq 2$ and $1 < p < \infty$ , it is shown that $\ell_\infty^n…

math.FA2007★ 3 cited

Norm and Numerical Peak Holomorphic Functions on Banach Spaces

Sung Guen Kim, Han Ju Lee

We introduce the notion of numerical (strong) peak function and investigate the denseness of the norm and numerical peak functions on complex Banach spaces. Let $A_{b} (B_{X} : X)$ be the…