Central and convolution {H}erz--{S}chur multipliers
کد مقاله : 1049-SHAA
ریحانه پورشهامی *
موسسه دانش‌های بنیادی فیزیک و ریاضی
چکیده مقاله:
We obtain descriptions of central operator-valued Schur and Herz--Schur multipliers, akin to a
classical characterisation due to Groth'endieck, that reveals a close link between central (linear) multipliers and
bilinear multipliers into the trace class.
Restricting to dynamical systems where a locally compact group acts on itself by translation,
we identify their convolution multipliers as the right completely bounded multipliers, in the sense of
Junge--Neufang--Ruan, of a canonical quantum group associated with the underlying group.
We provide characterisations of contractive idempotent operator-valued Schur and Herz--Schur multipliers.
Exploiting the link between Herz--Schur multipliers and multipliers on transformation
groupoids, we provide a combinatorial characterisation of groupoid multipliers that are
کلیدواژه ها:
Herz--Schur multiplier, Schur multiplier, idempotent, convolution, central
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