JournalszaaVol. 4, No. 4pp. 363–372

Twistprodukt und Quasi-*-AIgebren

  • Gerd Lassner

    Universität Leipzig, Germany
  • Gisela A. Lassner

    Universität Leipzig, Germany
Twistprodukt und Quasi-*-AIgebren cover

Abstract

The Schwartz distribution space S\mathcal S’ becomes a topological quasi-*-algebra with the distinguished subspace S\mathcal S, if one defines the so-called twisted product in it. In the paper it is pointed out that the Weyl quantization fW(f)f \to W(f) IV(/) is an isomorphism of this topological quasi-*-algebra onto the topological quasi-*-algebra L(S,S)\mathcal L (\mathcal S, \mathcal S’) of all linear continuous operators of S\mathcal S in S\mathcal S’. Furthermore, the problem of the extensions of the multiplications in these quasi-*-algebras is discussed.

Cite this article

Gerd Lassner, Gisela A. Lassner, Twistprodukt und Quasi-*-AIgebren. Z. Anal. Anwend. 4 (1985), no. 4, pp. 363–372

DOI 10.4171/ZAA/159