1 citations · 1 across the 6 of their papers we have counts for
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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…