Rank-one perturbations and norm-attaining operators

DOI10.1007/s00209-024-03458-zarXiv2301.05003OpenAlexW4392603304MaRDI QIDQ6193759

Mingu Jung, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca

Publication date: 19 March 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05003

zbMATH Keywords

reflexivitynorm-attaining operatorscompact perturbationweak maximizing property\(V\)-pairs

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Duality and reflexivity in normed linear and Banach spaces (46B10) Operators on Banach spaces (47B01)

Cites Work

• Unnamed Item
• Norm optimization problem for linear operators in classical Banach spaces
• Extremal problems for operators in Banach spaces arising in the study of linear operator pencils
• Extremal problems for operators in Banach spaces arising in the study of linear operator pencils. II
• On the weak maximizing properties
• Some remarks on the weak maximizing property
• On the intrinsic and the spatial numerical range
• On operators which attain their norm
• ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
• Compact perturbations and norm attaining operators
• Property (M), M-ideals, and almost isometric structure of Banach spaces.
• Uniform homeomorphisms of Banach spaces and asymptotic structure
• Reflexivity and nonweakly null maximizing sequences
• Functional analysis and infinite-dimensional geometry

This page was built for publication: Rank-one perturbations and norm-attaining operators