BSE-Properties of Vector-Valued Group Algebras

BSE-Properties of Vector-Valued Group Algebras

Let A be a semisimple commutative Banach algebra with identity of norm one and G be a locally compact abelian group. In this paper, we study the BSE-Property for L 1 ( G , A ) and show that L 1 ( G , A ) is a BSE algebra if and only if A is so.

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Veröffentlicht in:Vietnam journal of mathematics 2024-03, Vol.52 (1), p.283-298
Hauptverfasser: Rejali, Ali, Amiri, Mitra
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Group theory
Mathematics
Mathematics and Statistics
Original Article
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Zusammenfassung:Let A be a semisimple commutative Banach algebra with identity of norm one and G be a locally compact abelian group. In this paper, we study the BSE-Property for L 1 ( G , A ) and show that L 1 ( G , A ) is a BSE algebra if and only if A is so.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-022-00606-y