Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure

DOI10.1007/s11425-018-9379-yzbMath1453.47003OpenAlexW2900594463MaRDI QIDQ1729938

Ehmet Ablet, Wen Zhang, Li Xing Cheng, Qing Jin Cheng

Publication date: 7 March 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-018-9379-y

zbMATH Keywords

measure of noncompactnessBanach spaceinequivalence

Mathematics Subject Classification ID

Banach lattices (46B42) Compactness in Banach (or normed) spaces (46B50) Isometric theory of Banach spaces (46B04) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (9)

On measures of noncompactness in the space of functions defined on the half-axis with values in a Banach space ⋮ Measures of noncompactness in the study of solutions of infinite systems of Volterra-Hammerstein-Stieltjes integral equations ⋮ Representation of measures of noncompactness and its applications related to an initial value problem in Banach spaces ⋮ On a Cauchy problem in Banach spaces ⋮ The minimal displacement problem of DND-Lipschitzian mappings ⋮ On measure of noncompactness and application to global attractors of operator semigroups ⋮ Measure of super weak noncompactness in some Banach sequence spaces ⋮ Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\) ⋮ On solutions of an infinite system of nonlinear integral equations on the real half-axis

Cites Work

• Radon-Nikodým indices and measures of weak noncompactness
• Inequivalent measures of noncompactness
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Measures of noncompactness in metric fixed point theory
• Measure of non-Radon-Nikodym property and differentiability of convex functions on Banach spaces
• Punti uniti in trasformazioni a codominio non compatto
• Inequivalent measures of noncompactness and the radius of the essential spectrum
• A new approach to measures of noncompactness of Banach spaces
• A Characterization of Banach Spaces Containing l ¹
• On Super Weakly Compact Convex Sets and Representation of the Dual of the Normed Semigroup They Generate
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• Shorter Notes: Weak Convergence of Bounded Sequences
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