Abstract
Properties of spectral synthesis are exploited to show that, for a large class of commutative hypergroups and for every compact hypergroup, every closed, reflexive, left-translation-invariant subspace of is finite-dimensional. Also, we show that, for a class of hypergroups which includes many commutative hypergroups and all -hypergroups, every derivation of into an arbitrary Banach -bimodule is continuous.
Citation
B. E. Forrest. "Some consequences of spectral synthesis in hypergroup algebras." Ann. Funct. Anal. 7 (1) 170 - 179, February 2016. https://doi.org/10.1215/20088752-3428456
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