36 citations · 117 across the 42 of their papers we have counts for
10 papers · 1 filter
Amenability and weak amenability of the Fourier algebra
Brian E. Forrest, Volker Runde
Let be a locally compact group. We show that its Fourier algebra is amenable if and only if has an abelian subgroup of finite index, and that its Fourier-Stieltjes a…
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…
Abstract harmonic analysis, homological algebra, and operator spaces
Volker Runde
In 1972, B. E. Johnson proved that a locally compact group is amenable if and only if certain Hochschild cohomology groups of its convolution algebra vanish. Similarly…
Amenability for dual Banach algebras
Volker Runde
We define a Banach algebra A to be dual if for a closed submodule of . The class of dual Banach algebras includes all -algebras, but al…
Banach space properties forcing a reflexive amenable Banach algebra to be trivial
Volker Runde
It is an open problem whether an infinite-dimensional amenable Banach algebra exists whose underlying Banach space is reflexive. We give sufficient conditions for a reflexive, amen…
The flip is often discontinuous
Volker Runde
Let be a Banach algebra. The flip on $A \otimes A^\op$ is defined through $A \otimes A^\op \ni a \tensor b \mapsto b \tensor a$. If is ultraprime, $\El(A)$, the algebra of…