Closed ideals in subalgebras of Banach algebras. I

Author:

Burnham J. T.

Abstract

In this note we obtain an elementary extension of the so-called Fundamental Theorem of Segal Algebras to a special class of noncommutative Banach algebras. In particular the case of noncommutative group algebras is settled.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Normed ideals in 𝐿¹(𝐺);Cigler, J.;Nederl. Akad. Wetensch. Proc. Ser. A 72 = Indag. Math.,1969

2. On functions with Fourier transforms in 𝐿_{𝑝};Larsen, Ron;Michigan Math. J.,1964

3. The algebra of functions with Fourier transforms in 𝐿^{𝑝};Martin, John C.;Proc. Amer. Math. Soc.,1970

4. Closed ideals in the group algebra 𝐿¹(𝐺)∩𝐿²(𝐺);Warner, C. Robert;Trans. Amer. Math. Soc.,1966

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