From the 1 of 5 linked papers with an AI index.
5 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 MartÃn +2
The paper establishes density and norm-attainment results for nuclear operators and polynomials in Banach spaces, investigates when projective norm-attaining elements fill the proj…
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…