Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm

<p/> <p>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.</p>

Bibliographic Details
Main Authors: Hemdaoui M, Amzil M
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2008/768105
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author Hemdaoui M
Amzil M
author_facet Hemdaoui M
Amzil M
author_sort Hemdaoui M
collection DOAJ
description <p/> <p>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.</p>
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issn 1025-5834
1029-242X
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spelling doaj.art-d0e118a389924625836d6895bf482b2b2022-12-22T02:00:12ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081768105Convergence of Vectorial Continued Fractions Related to the Spectral SeminormHemdaoui MAmzil M<p/> <p>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.</p>http://www.journalofinequalitiesandapplications.com/content/2008/768105
spellingShingle Hemdaoui M
Amzil M
Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
Journal of Inequalities and Applications
title Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
title_full Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
title_fullStr Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
title_full_unstemmed Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
title_short Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
title_sort convergence of vectorial continued fractions related to the spectral seminorm
url http://www.journalofinequalitiesandapplications.com/content/2008/768105
work_keys_str_mv AT hemdaouim convergenceofvectorialcontinuedfractionsrelatedtothespectralseminorm
AT amzilm convergenceofvectorialcontinuedfractionsrelatedtothespectralseminorm