Spaces of Continuous Sesquilinear Forms Associated with Unbounded Operator Algebras

  • Konrad Schmüdgen

    Universität Leipzig, Germany

Abstract

Let be a closed *-algebra of unbounded operators on a dense invariant domain of a Hilbert space, and let be the vector space of all continuous sequilinear forms on relative to the graph topology of . We generalize some basic results of the von Neumann algebra theory (von Neumann bicommutant theorem, Kaplansky density theorem) to certain linear subspaces of .

Cite this article

Konrad Schmüdgen, Spaces of Continuous Sesquilinear Forms Associated with Unbounded Operator Algebras. Z. Anal. Anwend. 7 (1988), no. 4, pp. 309–319

DOI 10.4171/ZAA/308