Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 768105, 12 pages
Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
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.