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Compactness properties of extended Volterra operators in \(L^p([0,1])\) for \(1\leq p \leq \infty\)

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Publication:1924592
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DOI10.1007/BF01273344zbMath0907.47029MaRDI QIDQ1924592

Werner J. Ricker

Publication date: 2 March 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

total variationcompactnessVolterra integral operatorPettis integralsBochner integrals


Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38)


Related Items (5)

Compactness properties of the integration map for Volterra measures in non-normable spaces ⋮ Optimal domains for \(L^{0}\)-valued operators via stochastic measures ⋮ Operator ideal properties of the integration map of a vector measure ⋮ Banach function subspaces of \(L^1\) of a vector measure and related Orlicz spaces ⋮ Banach lattices with the Fatou property and optimal domains of kernel operators



Cites Work

  • On integrability and summability in vector spaces
  • On Integration in Vector Spaces
  • Linear Operations on Summable Functions
  • Unnamed Item
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