Resolvent estimates for a function of a linear operator

2025/08/05 by Bello, Glenier, Yakubovich, Dmitry · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.03585

Abstract

Let T be a bounded linear operator on a Banach space and f an analytic function, defined on the spectrum of T. We discuss the relations between the rate of growth of the resolvent of T and of f(T).

Citations

• Self-improving estimates of growth of subharmonic and analytic functions

Cited by

• Self-improving estimates of growth of subharmonic and analytic functions

Related

• On the growth of resolvent of Toeplitz operators
• Spectrum of a family of operators
• Resolvent conditions and growth of powers of operators on L^p spaces
• A local directional growth estimate of the resolvent norm
• Sharp estimate on the resolvent of a finite-dimensional contraction