Property \(\mathcal{P}\) and compact perturbations

DOI10.1007/s11785-023-01450-9OpenAlexW4391405147MaRDI QIDQ6196063

Tingting Zhou, Liqi Xiu

Publication date: 14 March 2024

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

Full work available at URL: https://doi.org/10.1007/s11785-023-01450-9

zbMATH Keywords

compact perturbationsproperty \(\mathcal{P} \)property \(\mathcal{P}_1\)property \(\mathcal{P}_2\)

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Cites Work

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• Orthogonality property \(\mathcal {O}\) and compact perturbations
• SVEP and compact perturbations
• Weyl's theorem for functions of operators and approximation
• GENERALIZED WEYL'S THEOREM FOR FUNCTIONS OF OPERATORS AND COMPACT PERTURBATIONS
• Polaroid type operators under perturbations
• Polaroid type operators and compact perturbations
• On Operators on Separable Banach Spaces with Arbitrary Prescribed Point Spectrum