Partial {$\sp \ast$}-algebras of closed linear operators in Hilbert space

J.-P. Antoine, W. Karwowski
1985 Publications of the Research Institute for Mathematical Sciences  
Given a dense domain-^ of a Hilbert space, we consider the class of all closed operators which, together with their adjoint, have @t in their domain. A partial *-algebra of operators on @ is a subset of that class, stable under suitable operations of involution, addition and multiplication, the latter when it is defined. We present two types of such objects and study their properties, both algebraic and topological.
doi:10.2977/prims/1195179844 fatcat:zjw2mnv7pnb7tfoito5yq5wtoa