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Compactness of operators acting from a Lorentz sequence space to an Orlicz sequence space

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Publication:1426888
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DOI10.1007/BF02384767zbMath1037.47504OpenAlexW2022029495MaRDI QIDQ1426888

Jelena Ausekle, Eh. F. Oya

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384767


zbMATH Keywords

Orlicz sequence spaceLorentz sequence spaceclosed subspaces


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) Linear operators defined by compactness properties (47B07) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38)


Related Items (2)

On quasi norm attaining operators between Banach spaces ⋮ M(r, s)-ideals of compact operators




Cites Work

  • The reflexivity of the Banach space \(L(E,F)\)
  • Pitt's theorem for the Lorentz and Orlicz sequence spaces.




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