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On a criterion for the complete continuity of the Fréchet derivative

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Publication:280800
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DOI10.1007/S10688-015-0119-7zbMath1346.46036OpenAlexW2197676910MaRDI QIDQ280800

Nina A. Erzakova

Publication date: 10 May 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0119-7


zbMATH Keywords

Fréchet derivativebifurcation pointLebesgue spacesHausdorff measure of noncompactnessasymptotically linear operatorcondensing mapsHammerstein operatorrotation of vector fields


Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)


Related Items (1)

On strongly condensing operators




Cites Work

  • On locally condensing operators
  • On measure-compact operators
  • Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
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