Annales Academię Scientiarum Fennicę
Mathematica
Volumen 36, 2011, 537-552

INTERPOLATION OF A MEASURE OF WEAK NON-COMPACTNESS

Radoslaw Szwedek

Adam Mickiewicz University, Faculty of Mathematics and Computer Science
Umultowska 87, 61-614 Poznan, Poland; szwedek 'at' amu.edu.pl

Abstract. We study the measure of weak non-compactness of operators between abstract interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. We specialize our results and show applications to weak compactness of operators.

2010 Mathematics Subject Classification: Primary 46B70, 46M35.

Key words: Measure of weak non-compactness, real interpolation.

Reference to this article: R. Szwedek: Interpolation of a measure of weak non-compactness. Ann. Acad. Sci. Fenn. Math. 36 (2011), 537-552.

Full document as PDF file

doi:10.5186/aasfm.2011.3642

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