tent":"In mathematics, specifically in functional analysis, the Sherman–Takeda theorem states that if A is a C*-algebra then its double dual is a W*-algebra, and is is..."}],["$","meta","8",{"property":"og:url","content":"https://www.wikiwand.com/en/articles/Sherman%E2%80%93Takeda%20theorem"}],["$","meta","9",{"property":"og:type","content":"article"}],["$","meta","10",{"name":"twitter:card","content":"summary"}],["$","meta","11",{"name":"twitter:title","content":"Sherman–Takeda theorem - Wikiwand"}],["$","meta","12",{"name":"twitter:description","content":"In mathematics, specifically in functional analysis, the Sherman–Takeda theorem states that if A is a C*-algebra then its double dual is a W*-algebra, and is is..."}]] 9:null 46:T603,

In mathematics, specifically in functional analysis, the Sherman–Takeda theorem states that if A is a C*-algebra then its double dual is a W*-algebra, and is isomorphic to the weak closure of A in the universal representation of A.

The theorem was announced by Sherman (1950) and proved by

References