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Positive functionals on some spaces of fractions

The aim of this work is to study norm preserving extensions of positive functionals on some spaces of fractions. The main result is stated in the case of unitary complex Banach algebras with involution. Moreover, we deal with C*-algebras and the commutative case as well. An application is also given...

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2007-08, Vol.11 (3), p.417-432
Main Author: MOKNI, Hichem
Format: Article
Language:English
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Summary:The aim of this work is to study norm preserving extensions of positive functionals on some spaces of fractions. The main result is stated in the case of unitary complex Banach algebras with involution. Moreover, we deal with C*-algebras and the commutative case as well. An application is also given. [PUBLICATION ABSTRACT]
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-007-2073-y