A Banach algebra of functions with bounded 𝑛th differences

Daly, John T.; Downum, Philip B.

doi:10.1090/S0002-9947-1976-0425616-9

A Banach algebra of functions with bounded $n$th differences
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by John T. Daly and Philip B. Downum PDF

Trans. Amer. Math. Soc. 223 (1976), 279-294 Request permission

Abstract:

Several characterizations are given for the Banach algebra of $(n - 1)$-times continuously differentiable functions whose $(n - 1)$st derivative satisfies a bounded Lipschitz condition. The structure of the closed primary ideals is investigated and spectral synthesis is shown to be satisfied.

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