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A note on strong Ditkin algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
In this note we answer a question of W. G. Bade by showing that if a normal, unital Banach function algebra A is strongly regular at one of its characters φ has a bounded approximate identity, then A has bounded relative units at φ. In particular, every strong Ditkin algebra has bounded relative units at all points of its character space. There need not, however, be a global bound available for the relative units.
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- Copyright © Australian Mathematical Society 1995
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