19 citations · 54 across the 14 of their papers we have counts for
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Invariant Subspaces in the Dual of and
Brian Forrest, John Sawatzky, Aasaimani Thamizhazhagan
Let be a locally compact group. In this paper, we study various invariant subspaces of the duals of the algebras and obtained by taking the closure of the…
Arens regularity of ideals in , and
Brian Forrest, John Sawatzky, Aasaimani Thamizhazhagan
In this paper, we look at the question of when various ideals in the Fourier algebra or its closures and in, respectively, its multiplier and -multi…
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…
Leinert sets and complemented ideals in Fourier algebras
Michael Brannan, Brian Forrest, Cameron Zwarich
Let be a locally compact group. We show how complemented ideals in the Fourier algebra of arise naturally from a class of thin sets known as Leinert sets. Moreover,…
On the subalgebra of a Fourier-Steiltjes algebra generated by pure positive definite functions
Yin-Hei Cheng, Brian E. Forrest, Nico Spronk
For a locally compact group , the first-named author considered the closed subspace which is generated by the pure positive definite functions. In many cases i…
Projectivity of modules over Segal algebras
Brian E. Forrest, Hun Hee Lee, Ebrahim Samei
In this paper we will study the projetivity of various natural modules associated to operator Segal algebras of the Fourier algebra of a locally compact group. In particular, we wi…