ON EXTRAPOLATION OF COMPACTNESS

ON EXTRAPOLATION OF COMPACTNESS

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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-04, Vol.271 (6), p.786-798
Hauptverfasser: Berezhnoi, E. I., Kocherova, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
Extrapolation
Linear operators
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06825-z