Commutators in Banach $^*$-algebras
Studia Mathematica 186 (2008), 1-10 MSC: 46H05, 46H10, 46K05, 47B47. DOI: 10.4064/sm186-1-1
The set of commutators in a Banach $^*$-algebra $A$, with continuous involution, is examined. Applications are made to the case where $A=B(\ell _2)$, the algebra of all bounded linear operators on $\ell _2$.