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
Mu'tah University, Department of Mathematics and Statistics, PO Box 7 Mu'tah, Al-Karak, Japan
Received 1 September 1999; Revised 1 August 2000
Copyright © 2001 Anwar A. Al-Nayef. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The spectrum σ(A) of a continuous linear operator A:E→E defined on a
Banach space E, which is contracting with respect to the Hausdorff
measure of noncompactness, is investigated.