Sublinear dimension growth in the Kreiss Matrix Theorem
Sublinear dimension growth in the Kreiss Matrix Theorem
A possible sublinear dimension growth in the Kreiss Matrix Theorem, bounding the stability constant in terms of the Kreiss resolvent characteristic, is discussed. Such a growth is proved for matrices having unimodular spectrum and acting on a uniformly convex Banach space. The principal ingredients to results obtained come from geometric …