The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-1, author = {Bertram Yood}, title = {Commutators in Banach *-algebras}, journal = {Studia Mathematica}, volume = {187}, year = {2008}, pages = {1-10}, zbl = {1171.46035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-1} }
Bertram Yood. Commutators in Banach *-algebras. Studia Mathematica, Tome 187 (2008) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-1/