Quantified asymptotic behaviour of Banach space operators and applications to iterative projection methods

zbMath1481.47022arXiv1704.00437MaRDI QIDQ5144132

David Seifert, Catalin Badea

Publication date: 14 January 2021

Full work available at URL: https://arxiv.org/abs/1704.00437

zbMATH Keywords

operatorsBanach spacesorbitsnumerical rangereflexivityrates of convergenceuniform convexityiterative projection methodsuniform smoothness

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Banach spaces (47B01)

Related Items (7)

Some developments around the Katznelson–Tzafriri theorem ⋮ Polynomial estimates for the method of cyclic projections in Hilbert spaces ⋮ On angles, projections and iterations ⋮ Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces ⋮ When products of projections diverge ⋮ On \(\alpha\)-firmly nonexpansive operators in \(r\)-uniformly convex spaces ⋮ Error bounds for the method of simultaneous projections with infinitely many subspaces

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