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Weak integrability of operator valued functions with values in ideals of compact operators on Hilbert space

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Abstract

In this paper, we provide some sufficient conditions for Pettis integrability of operator valued functions that take values in ideals of compact operators on the separable Hilbert space. Additionally, we show that, in general, these conditions do not imply Bochner integrability.

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Authors and Affiliations

  1. Department of Mathematics, University of Belgrade, Studentski trg 16, P.O.box 550, Belgrade, 11000, Serbia

    Matija Milović

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  1. Matija Milović
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The author M.M. confirms sole responsibility for the all the results and manuscript preparation. Funding Author has been funded by MPNTR grant, No. 174017, Serbia.

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Correspondence to Matija Milović.

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Milović, M. Weak integrability of operator valued functions with values in ideals of compact operators on Hilbert space. Positivity 28, 30 (2024). https://doi.org/10.1007/s11117-024-01047-2

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  • DOI: https://doi.org/10.1007/s11117-024-01047-2

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