Multipliers of Commutative F-Algebras of Continuous Vector-Valued Functions

Characterizations of multipliers on algebras of continuous functions with values in a commutative Banach or C ∗ -algebra A have been obtained by several authors. In this paper, we investigate the extent to which these characterizations can be made beyond Banach algebras. We shall focus mainly on the...

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2015, Vol.38 (1), p.345-358
Main Authors: Khan, Liaqat Ali, Alsulami, Saud M.
Format: Article
Language:English
Subjects:
Algebra
Applications of Mathematics
Commutativity
Continuity (mathematics)
Mathematics
Mathematics and Statistics
Multipliers
Online Access:Get full text
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Summary:Characterizations of multipliers on algebras of continuous functions with values in a commutative Banach or C ∗ -algebra A have been obtained by several authors. In this paper, we investigate the extent to which these characterizations can be made beyond Banach algebras. We shall focus mainly on the algebras of continuous functions with values in an F -algebra A (not necessarily locally convex), in particular in a complete p -normed algebra, 0 < p ≤ 1 , having a minimal approximate identity. We include a few examples related to our results. Most of our initial results remain valid without the commutativity of A .
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-014-0022-z