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Compact and weakly compact multipliers on Fourier algebras of ultraspherical hypergroups
Reza Esmailvandi, Mehdi Nemati
A locally compact group is discrete if and only if the Fourier algebra has a non-zero (weakly) compact multiplier. We partially extend this result to the setting of…
Amenability and harmonic -functions on hypergroups
Mehdi Nemati, Jila Sohaei
Let be a locally compact hypergroup with a left invariant Haar measure. We show that the Liouville property and amenability are equivalent for when it is second countable.…
Multipliers over Fourier algebras of ultraspherical hypergroups
Reza Esmailvandi, Mehdi Nemati
Let be an ultraspherical hypergroup associated to a locally compact group and let be the Fourier algebra of . For a left Banach -submodule of ,…
Invariant -means on multiplier completion of Banach algebras with application to hypergroups
Mehdi Nemati, Maryam Rajaei Rizi
Let be a Banach algebra and let be a non-zero character on . Suppose that is the closure of the faithful Banach algebra ${\mathcal…