Partial *-Algebras of Closed Linear Operators In Hilbert Space

  • Jean-Pierre Antoine

    Université Catholique de Louvain, Louvain-La-Neuve, Belgium
  • W. Karwowski

    Uniwersytet Wroclawski, Poland


Given a dense domain D of a Hilbert space, we consider the class of all closed operators which, together with their adjoint, have D in their domain. A partial *-algebra of operators on D 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.

Cite this article

Jean-Pierre Antoine, W. Karwowski, Partial *-Algebras of Closed Linear Operators In Hilbert Space. Publ. Res. Inst. Math. Sci. 21 (1985), no. 1, pp. 205–236

DOI 10.2977/PRIMS/1195179844