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math.FA2026
Schäffer's matrix inequality: the exact asymptotic constant
Samy Houache, Oleg Szehr, Rachid Zarouf
Let denote the smallest constant such that \[ |\det T|\|T^{-1}\| \leq S_n \|T\|^{n-1} \] for every invertible operator on every -dimensional complex Banach space. In H…
math.FA2020
Interpolation without commutants
Oleg Szehr, Rachid Zarouf
We introduce a "dual-space approach" to mixed Nevanlinna-Pick/Carathéodory-Schur interpolation in Banach spaces X of holomorphic functions on the disk. Our approach can be viewed a…