The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus

DOI10.1007/s11785-022-01323-7OpenAlexW4317662092MaRDI QIDQ2683179

Irene Sabadini, Antonino De Martino, Fabrizio Colombo

Publication date: 3 February 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04830

zbMATH Keywords

\(\mathcal{F}\)-resolvent equation\(\mathcal{F}\)-resolvent operatorsRiesz projectors for the \(\mathcal{F}\)-functional calculusspectral theory on the \(S\)-spectrum

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10)

Related Items (5)

A polyanalytic functional calculus of order 2 on the 𝑆-spectrum ⋮ Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators ⋮ Properties of a polyanalytic functional calculus on the S‐spectrum ⋮ The fine structure of the spectral theory on the \(S\)-spectrum in dimension five ⋮ Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors

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