22 citations · 148 across the 40 of their papers we have counts for
30 papers · 1 filter
On amenability constants of Fourier algebras: new bounds and new examples
Yemon Choi, Mahya Ghandehari
Let be a locally compact group. If is finite then the amenability constant of its Fourier algebra, denoted by , admits an explicit formula [Johnson, J…
Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth
Yemon Choi, Mahya Ghandehari, Hung Le Pham
The AMNM property for commutative Banach algebras is a form of Ulam stability for multiplicative linear functionals. We show that on any semilattice of infinite breadth, one may co…
Approximately multiplicative maps between algebras of bounded operators on Banach spaces
Yemon Choi, Bence Horváth, Niels Jakob Laustsen
We show that for any separable reflexive Banach space and a large class of Banach spaces , including those with a subsymmetric shrinking basis but also all spaces for…
An explicit minorant for the amenability constant of the Fourier algebra
Y. Choi
We show that if a locally compact group is non-abelian then the amenability constant of its Fourier algebra is , extending a result of Johnson (JLMS, 1994) who proved…
A short proof that is not amenable
Yemon Choi
Non-amenability of has been surprisingly difficult to prove for the classical Banach spaces, but is now known for and for all …
Dual convolution for the affine group of the real line
Yemon Choi, Mahya Ghandehari
The Fourier algebra of the affine group of the real line has a natural identification, as a Banach space, with the space of trace-class operators on $L^2({\mathbb R}^\times, dt/ |t…