Spectral mapping theorems for essential spectra and regularized functional calculi
Functional Analysis
2023-01-05 v2 Spectral Theory
Abstract
Gramsch and Lay [10] gave spectral mapping theorems for the Dunford-Taylor calculus of a closed linear operator , for several extended essential spectra . In this work, we extend such theorems for the natural functional calculus introduced by Haase [12,13]. We use the model case of bisectorial operators. The proofs presented here are generic, and are valid for similar functional calculus.
Cite
@article{arxiv.2206.13955,
title = {Spectral mapping theorems for essential spectra and regularized functional calculi},
author = {Jesús Oliva-Maza},
journal= {arXiv preprint arXiv:2206.13955},
year = {2023}
}