Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 7, Number 1 (2016), 170-179.
Some consequences of spectral synthesis in hypergroup algebras
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.
Ann. Funct. Anal., Volume 7, Number 1 (2016), 170-179.
Received: 15 March 2015
Accepted: 11 August 2015
First available in Project Euclid: 22 December 2015
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Forrest, B. E. Some consequences of spectral synthesis in hypergroup algebras. Ann. Funct. Anal. 7 (2016), no. 1, 170--179. doi:10.1215/20088752-3428456. https://projecteuclid.org/euclid.afa/1450803724