1 citations · 1 across the 6 of their papers we have counts for
7 papers
Classical polynomial inequalities for quadratic forms on an octagonal sector
Manwook Han, Sun Kwang Kim, Juan B. Seoane--Sepúlveda
We establish a collection of sharp inequalities for real quadratic forms on the first-quadrant sector of a regular octagon. Starting from the complete extreme-point description of…
The unit ball of quadratic forms on an octagonal sector
Manwook Han, Sun Kwang Kim, Gustavo A. Muñoz-Fernández +1
Let \[\mathfrak O=\{(x,y)\in[0,1]^2:x+y\le \sqrt2\} \] be the first-quadrant sector of a regular octagon. For quadratic forms \(P(x,y)=ax^2+bxy+cy^2\), we study the supremum norm o…
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…
Weak minimizing property on pairs of classical Banach spaces
Manwook Han
We investigate the minimum modulus analogue of the weak maximizing property, termed the \emph{weak minimizing property}. We establish that the pairs for $2 \l…
Geometry of the space of compact operators endowed with the numerical radius norm
Manwook Han, Sun Kwang Kim
We investigate the space of bounded linear operators on a Banach space equipped with a norm which is equivalent to the operator norm such that the subspace of compact operators is…
M-ideals of compact operators and Norm attaining operators
Manwook Han, Sun Kwang Kim
We investigate M-ideals of compact operators and two distinct properties in norm-attaining operator theory related with M-ideals of compact operators called the weak maximizing pro…
Galkin's Lower bound Conjecure for Lagrangian and orthogonal Grassmannians
Daewoong Cheong, Manwook Han
Let be a Fano manifold, and be the quantum cohomology ring of with the quantum product For , denote by the qu…