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- W4316494340 abstract "Abstract Let ${mathcal A}$ be a Banach algebra, and let $varphi $ be a nonzero character on ${mathcal A}$ . For a closed ideal I of ${mathcal A}$ with $Inot subseteq ker varphi $ such that I has a bounded approximate identity, we show that $operatorname {WAP}(mathcal {A})$ , the space of weakly almost periodic functionals on ${mathcal A}$ , admits a right (left) invariant $varphi $ -mean if and only if $operatorname {WAP}(I)$ admits a right (left) invariant $varphi |_I$ -mean. This generalizes a result due to Neufang for the group algebra $L^1(G)$ as an ideal in the measure algebra $M(G)$ , for a locally compact group G . Then we apply this result to the quantum group algebra $L^1({mathbb G})$ of a locally compact quantum group ${mathbb G}$ . Finally, we study the existence of left and right invariant $1$ -means on $ operatorname {WAP}(mathcal {T}_{triangleright }({mathbb G}))$ ." @default.
- W4316494340 created "2023-01-16" @default.
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- W4316494340 date "2023-01-16" @default.
- W4316494340 modified "2023-09-25" @default.
- W4316494340 title "Invariant means on weakly almost periodic functionals with application to quantum groups" @default.
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- W4316494340 doi "https://doi.org/10.4153/s0008439523000061" @default.
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