THE o-SPECTRUM OF r-ASYMPTOTICALLY QUASI-FINITE-RANK OPERATORS

Original Articles

THE o-SPECTRUM OF r-ASYMPTOTICALLY QUASI-FINITE-RANK OPERATORS

Published in: Quaestiones Mathematicae
Volume 7 , issue 3 , 1984 , pages: 299–303
DOI: 10.1080/16073606.1984.9632338
Author(s): Heinrich Raubenheimer Department of Mathematics, SOUTH AFRICA
Keywords: 47A1O , 47B55

Abstract

We introduce the class of r-asymptotically quasi finite rank operators (which properly contains the class of r-compact operators) and show that for these operators the spectrum and o-spectrum coincide.

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