Rocky Mountain Journal of Mathematics

Segal algebras in commutative Banach algebras

Jyunji Inoue and Sin-Ei Takahasi

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The notion of Reiter's Segal algebra in commutative group algebras is generalized to a notion of Segal algebra in more general classes of commutative Banach algebras. Then we introduce a family of Segal algebras in commutative Banach algebras under considerations and study some properties of them.

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Rocky Mountain J. Math., Volume 44, Number 2 (2014), 539-589.

First available in Project Euclid: 4 August 2014

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Primary: 46J10: Banach algebras of continuous functions, function algebras [See also 46E25]
Secondary: 46J40: Structure, classification of commutative topological algebras 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups

Segal algebra commutative Banach algebra group algebra Gelfand transform multiplier algebra


Inoue, Jyunji; Takahasi, Sin-Ei. Segal algebras in commutative Banach algebras. Rocky Mountain J. Math. 44 (2014), no. 2, 539--589. doi:10.1216/RMJ-2014-44-2-539.

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