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math.CA2026
A functional inequality related to Domar's uniform boundedness theorem
Thomas Ransford
We study the functional inequality \[ f(r+s)\le g(r)+αf(s) \quad(r,s>0). \] Here is a given decreasing function, is a constant such that , an…
math.FA2026
A proof of Esterle's conjecture on negative powers of Hilbert-space contractions
Thomas Ransford
We establish the following result, confirming a conjecture of Jean Esterle. For each closed subset of the unit circle of Lebesgue measure zero, there exists a positive sequence…