V. Runde

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20012004

most citedAmenability and weak amenability of the Fourier algebra

19 citations · 21 across the 8 of their papers we have counts for

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15 papers · 1 filter

math.FA2004

The amenability constant of the Fourier algebra

Volker Runde

For a locally compact group $G$ , let $A (G)$ denote its Fourier algebra and $G^$ its dual object, i.e. the collection of equivalence classes of unitary represenations of $G$ . W…

math.FA2004★ 2 cited

Representations of locally compact groups on QSL_p-spaces and a p-analog of the Fourier-Stieltjes algebra

Volker Runde

For a locally compact group $G$ and $p \in (1, \infty)$ , we define $B_{p} (G)$ to be the space of all coefficient functions of isometric representations of $G$ on quotients of subspace…

math.FA2003

A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal

Volker Runde

Let $G$ be a locally compact group, and let $W A P (G)$ denote the space of weakly almost periodic functions on $G$ . We show that, if $G$ is a $[S I N]$ -group, but not compact, then the…

math.FA2003

Operator space structure and amenability for Figà-Talamanca-Herz algebras

Anselm Lambert, Matthias Neufang, Volker Runde

Column and row operator spaces - which we denote by COL and ROW, respectively - over arbitrary Banach spaces were introduced by the first-named author; for Hilbert spaces, these de…

math.FA2002★ 19 cited

Amenability and weak amenability of the Fourier algebra

Brian E. Forrest, Volker Runde

Let $G$ be a locally compact group. We show that its Fourier algebra $A (G)$ is amenable if and only if $G$ has an abelian subgroup of finite index, and that its Fourier-Stieltjes a…

math.FA2002

The operator amenability of uniform algebras

Volker Runde

We prove a quantized version of a theorem by M. V. Sheinberg: A uniform algebra equipped with its canonical, i.e. minimal, operator space structure is operator amenable if and only…