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Unit Elements in the Double Dual of a Subalgebra of the Fourier Algebra A(G)

Unit Elements in the Double Dual of a Subalgebra of the Fourier Algebra A(G)

Abstract. Let ๐’œ be a Banach algebra with a bounded right approximate identity and let โ„ฌ be a closed ideal of ๐’œ. We study the relationship between the right identities of the double duals โ„ฌ** and ๐’œ** under the Arens product. We show that every right identity of โ„ฌ** can โ€ฆ