Journal of Applied Mathematics and Stochastic Analysis 
Volume 14 (2001), Issue 3, Pages 303-308
doi:10.1155/S1048953301000260

On the spectrum of ψ-contracting operators

Anwar A. Al-Nayef

Mu'tah University, Department of Mathematics and Statistics, PO Box 7 Mu'tah, Al-Karak, Japan

Received 1 September 1999; Revised 1 August 2000

Abstract

The spectrum σ(A) of a continuous linear operator A:EE defined on a Banach space E, which is contracting with respect to the Hausdorff measure of noncompactness, is investigated.