On measure-compact operators

DOI10.3103/S1066369X11090052zbMath1233.47047MaRDI QIDQ763519

Nina A. Erzakova

Publication date: 12 March 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

condensing operatorsLebesgue spacesHausdorff measure of noncompactnessLorentz spacesHammerstein operatorUrysohn operatormeasure of nonequipotential absolute continuitypartially additive operatorsregular spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Equations involving nonlinear operators (general) (47J05) Abstract bifurcation theory involving nonlinear operators (47J15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

On a criterion for the complete continuity of the Fréchet derivative ⋮ On locally condensing operators ⋮ On a fixed point theorem for the product of operators ⋮ On strongly condensing operators ⋮ Applications of one inequality to measures of non-compactness and narrow operators ⋮ On some fixed point theorems in abstract duality pairs

Cites Work

• Solvability of equations with partially additive operators
• On measures of non-compactness in regular spaces
• Compactness in measure and measure of noncompactness

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