36 citations · 117 across the 42 of their papers we have counts for
34 papers · 1 filter
(Non-)amenability of the Fourier algebra in the cb-multiplier norm
Volker Runde
For a locally compact group , let denote its Fourier algebra, the completely bounded multipliers of , and the closure of in $M_{…
Operator ultra-amenability
Brian E. Forrest, Volker Runde, Kyle Schlitt
Extending M.\ Daws' definition of ultra-amenable Banach algebras, we introduce the notion of operator ultra-amenability for completely contractive Banach algebras. For a locally co…
Connes-amenability of Fourier--Stieltjes algebras
Volker Runde, Faruk Uygul
Let be a locally compact group, and let denote its Fourier--Stieltjes algebra. We show that is Connes-amenable if and only if is almost abelian.
Factorization of completely bounded maps through reflexive operator spaces with applications to weak almost periodicity
Volker Runde
Let be a Hopf--von Neumann algebra, so that is a completely contractive Banach algebra. We investigate whether the product of two elements of that are both wea…
Completely almost periodic functionals
Volker Runde
Using the notion of complete compactness introduced by H. Saar, we define completely almost periodic functionals on completely contractive Banach algebras. We show that, if …
A new and simple proof of Schauder's theorem
Volker Runde
Schauder's theorem asserts that a bounded linear operator between Banach spaces is compact if ad only if its adjoint is. We give a new proof of this result, which is both short and…