- References
In mathematics, the Sherman–Takeda theorem states that if A is a C*-algebra then its double dual is a W*-algebra, and any homomorphism of A to a W* algebra factors through its double dual. The theorem was announced by {{harvtxt|Sherman|1950}} and proved by {{harvtxt|Takeda|1954}}. The double dual of A is called the universal enveloping W*-algebra of A. References - {{Citation | last1=Sherman | first1=S. | title=Proceedings of the International Congress of Mathematicians 1950 | url=http://mathunion.org/ICM/ICM1950.1/ | publisher=American Mathematical Society | location=Providence, R.I. | volume=1 | chapter=The second adjoint of a C algebra | pages=470|year=1950}}
- {{Citation | last1=Takeda | first1=Zirô | title=Conjugate spaces of operator algebras | url=http://www.journalarchive.jst.go.jp/english/jnlabstract_en.php?cdjournal=pjab1945&cdvol=30&noissue=2&startpage=90 | mr=0063578 | year=1954 | journal=Proceedings of the Japan Academy | issn=0021-4280 | volume=30 | issue=2 | pages=90–95}}
{{DEFAULTSORT:Sherman-Takeda theorem}} 2 : Operator theory|Von Neumann algebras |