Approximation numbers of composition operators on Hp
Daniel Li (LML), Herv\'e Queff\'elec (LPP), Luis Rodr\'iguez-Piazza
TL;DR
This paper provides estimates for the approximation numbers of composition operators acting on Hp spaces, enhancing understanding of their compactness and spectral properties in functional analysis.
Contribution
It introduces new bounds for approximation numbers of composition operators on Hp spaces, which were previously less understood.
Findings
Derived bounds for approximation numbers on Hp spaces
Improved understanding of operator compactness
Potential applications in spectral theory
Abstract
We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 p \textless{} .
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Taxonomy
TopicsHolomorphic and Operator Theory · Approximation Theory and Sequence Spaces · Advanced Banach Space Theory