A+ CATEGORY SCIENTIFIC UNIT

Measure of non-compactness of operators interpolated by the real method

Volume 175 / 2006

Rados/law Szwedek Studia Mathematica 175 (2006), 157-174 MSC: 46B70, 46M35. DOI: 10.4064/sm175-2-4

Abstract

We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.

Authors

  • Rados/law SzwedekFaculty of Mathematics and Computer Science
    A. Mickiewicz University
    Umultowska 87
    61-616 Pozna/n, Poland
    e-mail

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