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ON EXTRAPOLATION OF COMPACTNESS

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Abstract

We proposed some sufficient and necessary conditions for extrapolating the compactness of a quasi-linear operator. Also we exhibit the examples showing that the compactness of an operator is not extrapolated without serious additional constraints on the structure of the operator.

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Acknowledgements

Evgeny Berezhnoi acknowledges the support of the Ministry of Education and Science of Russia, agreement No. 075-02-2023-924 and of the Ministry of Education and Science of the Republic of Kazakhstan (project no. AP19677486).

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Authors and Affiliations

  1. Demidov Yaroslavl State University, Yaroslavl, 150000, Russia

    E. I. Berezhnoi & V. V. Kocherova

  2. Regional Mathematical Center, Southern Federal University, Rostov-on-Don, 344090, Russia

    E. I. Berezhnoi

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  1. E. I. Berezhnoi
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  2. V. V. Kocherova
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Correspondence to E. I. Berezhnoi.

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Dedicated to Anatoly Kusraev in honor of his 70th birthday.

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Berezhnoi, E.I., Kocherova, V.V. ON EXTRAPOLATION OF COMPACTNESS. J Math Sci 271, 786–798 (2023). https://doi.org/10.1007/s10958-023-06825-z

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