Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 768105, 12 pages
Research Article

Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm

M. Hemdaoui and M. Amzil

Laboratoire G.A.F.O, Département de Mathmatiques & Informatique, Faculté des Sciences, Université Mohamed Premier, Oujda, Morocco

Received 7 February 2008; Accepted 16 April 2008

Academic Editor: Charles Chidume

Copyright © 2008 M. Hemdaoui and M. Amzil. 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.


We show that the spectral seminorm is useful to study convergence or divergence of vectorial continued fractions in Banach algebras because such convergence or divergence is related to a spectral property.