On Galbis' integration lemmas
Yi C. Huang, Fei Xue
TL;DR
This paper simplifies Galbis' proof of norm estimates for self-adjoint Toeplitz operators on the Fock space by extending and unifying his integration lemmas with a more straightforward proof.
Contribution
It introduces a simplified and unified approach to Galbis' integration lemmas, making the proof of norm estimates more accessible.
Findings
Simplified proof of Galbis' integration lemmas
Unified approach to norm estimates for Toeplitz operators
Enhanced clarity in the proof structure
Abstract
We simplify in this note Galbis' proof of certain norm estimates for self-adjoint Toeplitz operators on the Fock space. This relies on an extension (and a unification) of his integration lemmas, yet with a simpler proof in the same spirit.
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Taxonomy
TopicsHolomorphic and Operator Theory · Spectral Theory in Mathematical Physics · Advanced Operator Algebra Research