Abstract
Let M be an algebra. An element xεM is said to be a commutator if there are a,bεM such that x=ab−ba.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderson, J.: Derivations, commutators and the essential numerical range, Thesis, Indiana University, 1971.
Apostol, C.: Commutators on Hilbert space, Revue Roumaine Math. Pures Appl. 18 (1973), 1013–1024.
Apostol, C.; Zsidó, L.: Ideals in W*-algebras and the function n of A. Brown and C. Pearcy, Revue Roumaine Math.Pures Appl. 18 (1973), 1151–1170.
Brown, A.; Pearcy, C.: Structure of commutators of operators, Ann. of Math. 82 (1965), 112–127.
Brown, A.; Pearcy, C.; Topping D.: Commutators and the strong radical, Duke Math. J. 35 (1968), 853–860.
Glimm, J.: A Stone-Weierstrass theorem for C*-algebras, Ann. of Math. 72 (1960), 216–244.
Halmos, P.: A Hilbert space problem book, von Nostrand, Princeton, 1967.
Halpern, H.: Commutators in properly infinite von Neumann algebras, Trans. Amer. Math. Soc. 139 (1969), 55–74.
Halpern, H.: Commutators modulo the center in a properly infinite von Neumann algebra, Trans. Amer. Math. Soc. 150 (1970), 55–68.
Halpern, H.: Essential central range and selfadjoint commutators in properly infinite von Neumann algebras, Trans. Amer. Math. Soc. 228 (1977), 117–146.
Misonou, Y.: On a weakly central operator algebra, Tohoku Math. J. 4 (1952), 194–202.
Strătilă, S.; Zsidó, L.: Lectures on von Neumann algebras, Abacus Press, 1979.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer Basel AG
About this chapter
Cite this chapter
Popa, S. (1982). On Commutators in Properly Infinite W*-Algebras. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5445-0_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5447-4
Online ISBN: 978-3-0348-5445-0
eBook Packages: Springer Book Archive