2019
DOI: 10.2989/16073606.2019.1636152
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On the fourier algebra of certain hypergroups

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Cited by 3 publications
(1 citation statement)
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“…Is every surjective continuous linear map Φ : A → B which preserves two-sided zero products a weighted Jordan homomorphism? This question is similar to but, as it turns out, more difficult than a more thoroughly studied question of describing zero products preserving continuous linear maps (see the most recent publications [7,11,12,14,15] for historical remarks and references). It is known that the answer is positive if either A and B are C * -algebras [3,Theorem 3.3] or if A = L 1 (G) and B = L 1 (H) where G and H are locally compact groups with G ∈ [SIN] (i.e., G has a base of compact neighborhoods of the identity that is invariant under all inner automorphisms) [6, Theorem 3.1 (i)].…”
Section: Introductionmentioning
confidence: 97%
“…Is every surjective continuous linear map Φ : A → B which preserves two-sided zero products a weighted Jordan homomorphism? This question is similar to but, as it turns out, more difficult than a more thoroughly studied question of describing zero products preserving continuous linear maps (see the most recent publications [7,11,12,14,15] for historical remarks and references). It is known that the answer is positive if either A and B are C * -algebras [3,Theorem 3.3] or if A = L 1 (G) and B = L 1 (H) where G and H are locally compact groups with G ∈ [SIN] (i.e., G has a base of compact neighborhoods of the identity that is invariant under all inner automorphisms) [6, Theorem 3.1 (i)].…”
Section: Introductionmentioning
confidence: 97%